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  • Article
  • Open Access
72 Citations
6,742 Views
18 Pages

10 September 2020

In this manuscript, we extend the traditional multi-attributive border approximation area comparison (MABAC) method for the multiple-criteria group decision-making (MCGDM) with triangular fuzzy neutrosophic numbers (TFNNs) to propose the TFNNs-MABAC...

(This article belongs to the Special Issue Multiple-Criteria Decision Making)
  • Article
  • Open Access
116 Citations
5,909 Views
36 Pages

26 June 2019

Keeping in view the importance of new defined and well growing spherical fuzzy sets, in this study, we proposed a novel method to handle the spherical fuzzy multi-criteria group decision-making (MCGDM) problems. Firstly, we presented some novel logar...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
121 Citations
6,191 Views
15 Pages

15 October 2018

In this article, we combine the original VIKOR model with a triangular fuzzy neutrosophic set to propose the triangular fuzzy neutrosophic VIKOR method. In the extended method, we use the triangular fuzzy neutrosophic numbers (TFNNs) to present the c...

(This article belongs to the Special Issue Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets)
  • Article
  • Open Access
9 Citations
2,418 Views
16 Pages

1 October 2020

In this paper, in order to apply the concept of octahedron sets to multi-criteria group decision-making problems, we define several similarity and distance measures for octahedron sets. We present a multi-criteria group decision-making method with li...

(This article belongs to the Special Issue Fuzzy Sets, Fuzzy Logic and Their Applications 2020)
  • Article
  • Open Access
61 Citations
4,474 Views
23 Pages

11 March 2019

Recently, neutrosophic sets are found to be more general and useful to express incomplete, indeterminate and inconsistent information. The purpose of this paper is to introduce new aggregation operators based on logarithmic operations and to develop...

(This article belongs to the Special Issue New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications)
  • Article
  • Open Access
87 Citations
6,680 Views
14 Pages

8 March 2019

In this paper, we design the EDAS (evaluation based on distance from average solution) model with picture 2-tuple linguistic numbers (P2TLNs). First, we briefly reviewed the definition of P2TLSs and introduced the score function, accuracy function, a...

(This article belongs to the Special Issue Optimization for Decision Making)
  • Article
  • Open Access
19 Citations
4,233 Views
16 Pages

25 December 2018

The green supplier selection (GSS) problem is one of the most pressing issues that can directly affect manufacturer performance. GSS has been studied in previous literature, which is considered to be a typical multiple criteria group decision making...

(This article belongs to the Special Issue Fuzzy Techniques for Decision Making 2018)
  • Feature Paper
  • Article
  • Open Access
24 Citations
3,987 Views
34 Pages

1 June 2018

Hamacher operation is a generalization of the algebraic and Einstein operation and expresses a family of binary operation in the unit interval [0,1]. Heronian mean can deal with correlations of different criteria or input arguments and does not bring...

  • Article
  • Open Access
30 Citations
6,115 Views
20 Pages

26 March 2018

Uncertainties due to randomness and fuzziness comprehensively exist in control and decision support systems. In the present study, we introduce notion of occurring probability of possible values into hesitant fuzzy linguistic element (HFLE) and defin...

(This article belongs to the Special Issue Fuzzy Mathematics)
  • Article
  • Open Access
71 Citations
6,870 Views
15 Pages

Intuitionistic Fuzzy Sets in Multi-Criteria Group Decision Making Problems Using the Characteristic Objects Method

  • Shahzad Faizi,
  • Wojciech Sałabun,
  • Tabasam Rashid,
  • Sohail Zafar and
  • Jarosław Wątróbski

19 August 2020

Over the past few decades, several researchers and professionals have focused on the development and application of multi-criteria group decision making (MCGDM) methods under a fuzzy environment in different areas and disciplines. This complex resear...

(This article belongs to the Special Issue Uncertain Multi-Criteria Optimization Problems)
  • Article
  • Open Access
13 Citations
5,146 Views
35 Pages

In order to be prepared against potential balance-breaking risks affecting economic development, more and more countries have recognized emergency response solutions evaluation (ERSE) as an indispensable activity in their governance of sustainable de...

(This article belongs to the Special Issue Decision Models in Green Growth and Sustainable Development)
  • Article
  • Open Access
1 Citations
4,350 Views
26 Pages

4 August 2020

Confronted with the increasingly serious water pollution in China, companies are implementing scientific measures to strive for sustainable drinking water source regions (DWSRs). The challenge lies in how to evaluate available DWSRs. Considering the...

  • Feature Paper
  • Article
  • Open Access
72 Citations
10,361 Views
15 Pages

A Dynamic Fuzzy Approach Based on the EDAS Method for Multi-Criteria Subcontractor Evaluation

  • Mehdi Keshavarz-Ghorabaee,
  • Maghsoud Amiri,
  • Edmundas Kazimieras Zavadskas,
  • Zenonas Turskis and
  • Jurgita Antucheviciene

19 March 2018

Selection of appropriate subcontractors for outsourcing is very important for the success of construction projects. This can improve the overall quality of projects and promote the qualification and reputation of the main contractors. The evaluation...

(This article belongs to the Special Issue Multiple-Criteria Decision-Making (MCDM) Techniques for Business Processes Information Management)
  • Article
  • Open Access
10 Citations
3,577 Views
21 Pages

2 November 2018

Single valued trapezoidal neutrosophic numbers (SVTNNs) are very useful tools for describing complex information, because of their advantage in describing the information completely, accurately and comprehensively for decision-making problems. In the...

(This article belongs to the Special Issue Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets)
  • Article
  • Open Access
5 Citations
1,532 Views
27 Pages

3 January 2025

The symmetrical linear Diophantine fuzzy Hamacher aggregation operators play a fundamental role in many decision-making applications. The selection of a cyber security system is of paramount importance for maintaining digital assets. It necessitates...

(This article belongs to the Special Issue Recent Developments on Fuzzy Sets Extensions)
  • Article
  • Open Access
19 Citations
4,368 Views
36 Pages

26 May 2022

The idea of spherical fuzzy soft set (SFSS) is a new hybrid model of a soft set (SS) and spherical fuzzy set (SFS). An SFSS is a new approach for information analysis and information fusion, and fuzzy modeling. We define the concepts of spherical-fuz...

(This article belongs to the Section C2: Dynamical Systems)
  • Article
  • Open Access
780 Views
49 Pages

23 March 2026

In order to tackle resilient supplier selection (RSS) of high uncertainty in resilient supply chain management, an effective correlation coefficients-based multicriteria group decision-making (MCGDM) methodology has been constructed. The major contri...

(This article belongs to the Section Systems Practice in Social Science)
  • Article
  • Open Access
4 Citations
1,510 Views
38 Pages

20 August 2025

Trapezoidal-valued intuitionistic fuzzy numbers (TrVIFNs) are the real generalizations of intuitionistic fuzzy numbers, interval-valued intuitionistic fuzzy numbers, and triangular intuitionistic fuzzy numbers, which effectively model real-life probl...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Article
  • Open Access
2 Citations
1,209 Views
33 Pages

28 February 2026

This paper introduces a novel hybrid framework called Interval-Valued Picture Fuzzy Soft Rough Sets (IVPFSRS) designed to address complex uncertainty in multi-criteria group decision-making (MCGDM) problems. The model achieves a synergistic integrati...

(This article belongs to the Special Issue Fuzzy Sets, Rough Sets, and Fuzzy Relational Equations: Theoretical Advances and Applications)
  • Article
  • Open Access
30 Citations
4,204 Views
30 Pages

1 May 2019

In a few years, hesitant fuzzy sets (HFSs) have had an impact on several different areas of decision science. However, a number of researches have utilized the Elimination and choice translating reality (ELECTRE) methods to determine the multi-criter...

(This article belongs to the Special Issue Adaptive Fuzzy Control)
  • Article
  • Open Access
10 Citations
5,388 Views
18 Pages

3 November 2015

In multi-criteria group decision-making (MCGDM), one of the most important problems is to determine the weights of criteria and experts. This paper intends to present two Min-Max models to optimize the point estimates of the weights. Since each exper...

  • Article
  • Open Access
14 Citations
2,598 Views
19 Pages

18 February 2025

Supplier selection in the shipbuilding industry is a typical multicriteria group decision-making (MCGDM) problem, often characterized by significant uncertainty and fuzziness. To address this issue effectively, this paper proposes a novel integrated...

(This article belongs to the Special Issue Sustainability in Supply Chains, Technology Management, and Performance Evaluation)
  • Article
  • Open Access
62 Citations
4,389 Views
33 Pages

q-Rung Orthopair Fuzzy Prioritized Aggregation Operators and Their Application Towards Green Supplier Chain Management

  • Muhammad Riaz,
  • Dragan Pamucar,
  • Hafiz Muhammad Athar Farid and
  • Masooma Raza Hashmi

8 June 2020

Supply management and environmental concerns are becoming increasingly relevant to scientific decision analysis around the world. Several companies have implemented the green supply chain management (GSCM) approach for attaining economic advantages w...

(This article belongs to the Special Issue Uncertain Multi-Criteria Optimization Problems)
  • Article
  • Open Access
23 Citations
7,498 Views
22 Pages

25 December 2021

Brick making contributes significantly to the of supply materials for the building industry. The majority of brick production sectors, especially in developing countries, employ polluting and energy-inefficient technologies. Due to the increasing pre...

  • Article
  • Open Access
62 Citations
5,168 Views
37 Pages

A Robust q-Rung Orthopair Fuzzy Einstein Prioritized Aggregation Operators with Application towards MCGDM

  • Muhammad Riaz,
  • Hafiz Muhammad Athar Farid,
  • Humaira Kalsoom,
  • Dragan Pamučar and
  • Yu-Ming Chu

26 June 2020

A q-rung orthopair fuzzy set (q-ROFS) provides a significant mechanism for managing symmetrical aspects in real life circumstances. The renowned distinguishing feature of q-ROFS is that the sum of the qth powers to each membership degree (MD) and non...

(This article belongs to the Special Issue Uncertain Multi-Criteria Optimization Problems)
  • Article
  • Open Access
21 Citations
4,328 Views
22 Pages

Comparative Analysis of Hybrid Fuzzy MCGDM Methodologies for Optimal Robot Selection Process

  • Tabasam Rashid,
  • Asif Ali,
  • Juan L. G. Guirao and
  • Adrián Valverde

10 May 2021

The generalized interval-valued trapezoidal fuzzy best-worst method (GITrF-BWM) provides more reliable and more consistent criteria weights for multiple criteria group decision making (MCGDM) problems. In this study, GITrF-BWM is integrated with the...

(This article belongs to the Special Issue Multi-Criteria Decision Aid Methods in Fuzzy Decision Problems – Part III)
  • Article
  • Open Access
13 Citations
1,686 Views
27 Pages

30 November 2024

Decision makers (DMs) are often viewed as autonomous in the majority of multicriteria group decision making (MCGDM) situations, and their psychological behaviors are seldom taken into account. Once more, we are unable to prevent both positive and neg...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Article
  • Open Access
10 Citations
4,182 Views
12 Pages

The Bonferroni mean (BM) can be used in situations where the aggregated arguments are correlated. BM is very useful for solving decision-making problems. For describing fuzziness and vagueness more accurately, the interval-valued hesitant fuzzy set (...

  • Article
  • Open Access
20 Citations
3,392 Views
27 Pages

24 September 2021

Through a combination of overlap functions (which have symmetry and continuity) and a fuzzy β-covering fuzzy rough set (FCFRS), a new class of FCFRS models is established, and the basic properties of the new fuzzy β-neighborhood lower and upper appro...

(This article belongs to the Special Issue Multi-Criteria Decision Aid Methods in Fuzzy Decision Problems – Part III)
  • Article
  • Open Access
30 Citations
3,708 Views
13 Pages

Multi-Granulation Neutrosophic Rough Sets on a Single Domain and Dual Domains with Applications

  • Chunxin Bo,
  • Xiaohong Zhang,
  • Songtao Shao and
  • Florentin Smarandache

23 July 2018

It is an interesting direction to study rough sets from a multi-granularity perspective. In rough set theory, the multi-particle structure was represented by a binary relation. This paper considers a new neutrosophic rough set model, multi-granulatio...

(This article belongs to the Special Issue Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets)
  • Article
  • Open Access
96 Citations
7,825 Views
17 Pages

Group Decision-Making for Hesitant Fuzzy Sets Based on Characteristic Objects Method

  • Shahzad Faizi,
  • Wojciech Sałabun,
  • Tabasam Rashid,
  • Jarosław Wątróbski and
  • Sohail Zafar

29 July 2017

There are many real-life problems that, because of the need to involve a wide domain of knowledge, are beyond a single expert. This is especially true for complex problems. Therefore, it is usually necessary to allocate more than one expert to a deci...

(This article belongs to the Special Issue Fuzzy Techniques for Decision Making)
  • Article
  • Open Access
8 Citations
4,382 Views
15 Pages

15 November 2018

In this paper, a new approach and framework based on the interval dependent degree for multi-criteria group decision-making (MCGDM) problems with simplified neutrosophic sets (SNSs) is proposed. Firstly, the simplified dependent function and distribu...

(This article belongs to the Special Issue Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets)
  • Article
  • Open Access
75 Citations
5,811 Views
19 Pages

A New Group Decision Model Based on Grey-Intuitionistic Fuzzy-ELECTRE and VIKOR for Contractor Assessment Problem

  • Hassan Hashemi,
  • Seyed Meysam Mousavi,
  • Edmundas Kazimieras Zavadskas,
  • Alireza Chalekaee and
  • Zenonas Turskis

18 May 2018

This study introduces a new decision model with multi-criteria analysis by a group of decision makers (DMs) with intuitionistic fuzzy sets (IFSs). The presented model depends on a new integration of IFSs theory, ELECTRE and VIKOR along with grey rela...

(This article belongs to the Special Issue Sustainability in Construction Engineering)
  • Article
  • Open Access
29 Citations
6,093 Views
16 Pages

NN-Harmonic Mean Aggregation Operators-Based MCGDM Strategy in a Neutrosophic Number Environment

  • Kalyan Mondal,
  • Surapati Pramanik,
  • Bibhas C. Giri and
  • Florentin Smarandache

23 February 2018

A neutrosophic number (a + bI) is a significant mathematical tool to deal with indeterminate and incomplete information which exists generally in real-world problems, where a and bI denote the determinate component and indeterminate component, respec...

(This article belongs to the Special Issue Neutrosophic Multi-Criteria Decision Making)
  • Article
  • Open Access
9 Citations
5,313 Views
19 Pages

This paper presents a new approach to solve the multi-criteria group decision making (MCGDM) problem where criteria values take the form of 2-tuple linguistic information. Firstly, a 2-tuple hybrid ordered weighted geometric (THOWG) operator is propo...

(This article belongs to the Section Information Theory and Methodology)
  • Article
  • Open Access
39 Citations
5,107 Views
26 Pages

Novel m—Polar Fuzzy Linguistic ELECTRE-I Method for Group Decision-Making

  • Arooj Adeel,
  • Muhammad Akram,
  • Imran Ahmed and
  • Kashif Nazar

2 April 2019

Linguistic variables play a vital role in several qualitative decision environments, in which decision-makers assume several feasible linguistic values or criteria instead of a single term for an alternative or variable. The motivation for the use of...

(This article belongs to the Special Issue Multi-Criteria Decision Aid methods in fuzzy decision problems)
  • Article
  • Open Access
2 Citations
3,115 Views
22 Pages

28 September 2020

The proper solution of a multi-criteria group decision making (MCGDM) problem usually involves a series of critical issues that are to be dealt with, among which two are noteworthy, namely how to assign weights to the (possibly distinct) judgment cri...

  • Article
  • Open Access
79 Citations
4,594 Views
20 Pages

Group Decision-Making Based on m-Polar Fuzzy Linguistic TOPSIS Method

  • Arooj Adeel,
  • Muhammad Akram and
  • Ali N. A. Koam

29 May 2019

The fuzzy linguistic approach provides favorable outputs in several areas, whose description is relatively qualitative. The encouragement for the utilization of sentences or words instead of numbers is that linguistic characterizations or classificat...

(This article belongs to the Special Issue Multi-Criteria Decision Aid methods in fuzzy decision problems)
  • Article
  • Open Access
2 Citations
1,850 Views
19 Pages

15 November 2024

To improve the accuracy of choosing restoration materials for repairing ancient Chinese buildings and to mitigate the risk of decision-making, this paper establishes a novel selection model of compositions and proportions of additive lime mortars for...

(This article belongs to the Topic Nature-Based Solutions-2nd Edition)
  • Article
  • Open Access
4 Citations
1,605 Views
21 Pages

14 October 2024

The fractional orthotriple fuzzy set (FOFS) model is a recently created extension of fuzzy sets (FS) for coping with ambiguity in DM. The purpose of this study is to define new exponential and Einstein exponential operational (EO) laws for fractional...

(This article belongs to the Special Issue Various Generalizations of Fuzzy Sets and Their Applications in Engineering and Management)
  • Article
  • Open Access
8 Citations
4,051 Views
30 Pages

With the concept of sustainability gaining popularity, low-carbon tourism has been widely considered. In this paper, a multicriteria group decision making (MCGDM) process based on an uncertain environment is proposed to study the evaluation problem o...

(This article belongs to the Special Issue Sustainable Tourism and Its Environmental and Human Ecological Effects)
  • Article
  • Open Access
848 Views
44 Pages

A Novel Integrated Group Decision-Making Framework for Assessing Green Supply Chain Strategies Under Complex Uncertainty

  • Shah Zeb Khan,
  • Yasir Akhtar,
  • Wael Mahmoud Mohammad Salameh,
  • Darjan Karabasevic and
  • Dragisa Stanujkic

9 April 2026

Green supply chain management (GSCM) has become essential for organizations seeking to balance environmental sustainability, regulatory compliance, and economic resilience. However, selecting appropriate green supply chain strategies constitutes a co...

(This article belongs to the Special Issue Uncertainty-Aware Decision Making in Supply Chain and Logistics: Integration of Fuzzy, Stochastic, and Analytical Approaches)
  • Article
  • Open Access
10 Citations
2,493 Views
23 Pages

24 June 2021

Ambiguous and uncertain facts can be handled using a hesitant 2-tuple linguistic set (H2TLS), an important expansion of the 2-tuple linguistic set. The vagueness and uncertainty of data can be grabbed by using aggregation operators. Therefore, aggreg...

(This article belongs to the Special Issue Multiple Criteria Decision Making)
  • Article
  • Open Access
67 Citations
5,569 Views
28 Pages

1 December 2018

With environmental issues becoming increasingly important worldwide, plenty of enterprises have applied the green supply chain management (GSCM) mode to achieve economic benefits while ensuring environmental sustainable development. As an important p...

(This article belongs to the Special Issue Multi-Criteria Decision-Making Techniques for Improvement Sustainability Engineering Processes)
  • Article
  • Open Access
40 Citations
8,481 Views
35 Pages

14 June 2018

In the market economy, competition is typically due to the difficulty in selecting the most suitable supplier, one that is capable to help a business to develop a profit to the highest value threshold and capable to meet sustainable development featu...

(This article belongs to the Special Issue Fuzzy Techniques for Decision Making 2018)
  • Article
  • Open Access
7 Citations
991 Views
29 Pages

3 June 2025

Despite advancements in divergence and distance measures across fuzzy set extensions, the development of such measures for Globular T-Spherical Fuzzy Sets (G-TSFSs) remains significantly unexplored. Existing approaches often fall short in capturing t...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
36 Citations
5,190 Views
25 Pages

A Group Decision Framework for Renewable Energy Source Selection under Interval-Valued Probabilistic linguistic Term Set

  • Raghunathan Krishankumar,
  • Arunodaya Raj Mishra,
  • Kattur Soundarapandian Ravichandran,
  • Xindong Peng,
  • Edmundas Kazimieras Zavadskas,
  • Fausto Cavallaro and
  • Abbas Mardani

22 February 2020

In recent years, the assessment of desirable renewable energy alternative has been an extremely important concern that could change the environment and economic growth. To tackle the circumstances, some authors have paid attention to selecting the de...

(This article belongs to the Special Issue Uncertain Decision Making Methods in Energy Policies for Sustainable Development)
  • Article
  • Open Access
3 Citations
1,870 Views
27 Pages

6 August 2024

The continuous revolution of new energy technologies and the introduction of subsidy policies have promoted green consumers’ willingness to purchase new energy vehicles and automotive online service platforms have disclosed vehicle reputation a...

(This article belongs to the Section Economic and Business Aspects of Sustainability)