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170 Results Found

  • Article
  • Open Access
2 Citations
3,946 Views
9 Pages

Regarding the multi-attribute decision-making problem where both the attribute value and attribute weight of a scheme are exponential fuzzy numbers, this paper proposes a fuzzy multiple attribute decision-making method based on exponential fuzzy numb...

  • Feature Paper
  • Article
  • Open Access
13 Citations
3,179 Views
33 Pages

As an extension of the fuzzy set, the hesitant fuzzy set is used to effectively solve the hesitation of decision-makers in group decision-making and to rigorously express the decision information. In this paper, we first introduce some new hesitant f...

(This article belongs to the Special Issue Optimization for Decision Making)
  • Article
  • Open Access
5 Citations
2,083 Views
16 Pages

2 June 2023

In multiple-attribute decision-making (MADM) problems, ranking the alternatives is an important step for making the best decision. Intuitionistic fuzzy numbers (IFNs) are a powerful tool for expressing uncertainty and vagueness in MADM problems. Howe...

(This article belongs to the Topic Fuzzy Number, Fuzzy Difference, Fuzzy Differential: Theory and Applications)
  • Article
  • Open Access
49 Citations
4,425 Views
27 Pages

Dual Hesitant Pythagorean Fuzzy Heronian Mean Operators in Multiple Attribute Decision Making

  • Mei Tang,
  • Jie Wang,
  • Jianping Lu,
  • Guiwu Wei and ,
  • Cun Wei and
  • Yu Wei
  • + 1 author+ 0 author

10 April 2019

On account of the indeterminacy and subjectivity of decision makers (DMs) in complexity decision-making environments, the evaluation information over alternatives presented by DMs is usually fuzzy and ambiguous. As the generalization of intuitionisti...

(This article belongs to the Special Issue Optimization for Decision Making)
  • Article
  • Open Access
24 Citations
4,613 Views
28 Pages

3 November 2017

Normal intuitionistic fuzzy numbers (NIFNs), which combine the normal fuzzy number (NFN) with intuitionistic number, can easily express the stochastic fuzzy information existing in real decision making, and power-average (PA) operator can consider th...

  • Feature Paper
  • Article
  • Open Access
12 Citations
3,410 Views
18 Pages

23 January 2020

Multiple attribute decision making (MADM) is full of uncertainty and vagueness due to intrinsic complexity, limited experience and individual cognition. Representative decision theories include fuzzy set (FS), intuitionistic fuzzy set (IFS), hesitant...

  • Article
  • Open Access
89 Citations
4,483 Views
28 Pages

31 October 2018

The Hamy mean (HM) operator, as a useful aggregation tool, can capture the correlation between multiple integration parameters, and the 2-tuple linguistic Pythagorean fuzzy numbers (2TLPFNs) are a special kind of Pythagorean fuzzy numbers (PFNs), whi...

(This article belongs to the Special Issue Nonlinear Analysis Using Fuzzy Mathematics)
  • Article
  • Open Access
55 Citations
4,208 Views
27 Pages

29 October 2018

Interval-valued Pythagorean fuzzy numbers (IVPFNs) can easily describe the incomplete and indeterminate information by degrees of membership and non-membership, and the Hamy mean (HM) operator and dual HM (DHM) operators are a good tool for dealing w...

(This article belongs to the Special Issue Recent Advances in Game and Decision Theory: Structures, Models, Applications and Software Implementation)
  • Article
  • Open Access
117 Citations
5,088 Views
34 Pages

15 October 2018

In this paper, we extend the Hamy mean (HM) operator and dual Hamy mean (DHM) operator with Pythagorean fuzzy numbers (PFNs) to propose Pythagorean fuzzy Hamy mean (PFHM) operator, weighted Pythagorean fuzzy Hamy mean (WPFHM) operator, Pythagorean fu...

(This article belongs to the Special Issue Multi-Criteria Decision Aid methods in fuzzy decision problems)
  • Article
  • Open Access
117 Citations
4,566 Views
39 Pages

1 November 2018

In this paper, we extended the Hamy mean (HM) operator, the Dombi Hamy mean (DHM) operator, the Dombi dual Hamy mean (DDHM), with the intuitionistic fuzzy numbers (IFNs) to propose the intuitionistic fuzzy Dombi Hamy mean (IFDHM) operator, intuitioni...

(This article belongs to the Special Issue Multi-Criteria Decision Aid methods in fuzzy decision problems)
  • Article
  • Open Access
7 Citations
3,036 Views
30 Pages

7 March 2022

Due to the complexity and uncertainty of objective things, interval-valued intuitionistic fuzzy (I-VIF) numbers are often used to describe the attribute values in multiple-attribute decision making (MADM). Sometimes, there are correlations between th...

  • Article
  • Open Access
80 Citations
5,184 Views
45 Pages

13 October 2018

The Maclaurin symmetric mean (MSM) operator is a classical mean type aggregation operator used in modern information fusion theory, which is suitable to aggregate numerical values. The prominent characteristic of the MSM operator is that it can captu...

(This article belongs to the Special Issue Recent Advances in Game and Decision Theory: Structures, Models, Applications and Software Implementation)
  • Article
  • Open Access
101 Citations
5,801 Views
25 Pages

10 October 2018

The q-rung orthopair fuzzy sets (q-ROFSs), originated by Yager, are good tools to describe fuzziness in human cognitive processes. The basic elements of q-ROFSs are q-rung orthopair fuzzy numbers (q-ROFNs), which are constructed by membership and non...

(This article belongs to the Special Issue Fuzzy Techniques for Decision Making 2018)
  • Article
  • Open Access
8 Citations
1,870 Views
23 Pages

24 September 2021

In order to solve multiple-attribute group decision-making (MAGDM) problems under a trapezoid intuitionistic fuzzy linguistic (TIFL) environment and the relationships between multiple input parameters needed, in this paper, we extend the Maclaurin sy...

  • Article
  • Open Access
16 Citations
3,714 Views
14 Pages

4 July 2018

This paper investigates an intuitionistic fuzzy multiple attribute decision-making method based on weighted induced distance and its application to investment selection. Specifically, an intuitionistic fuzzy weighted induced ordered weighted averagin...

(This article belongs to the Special Issue Fuzzy Techniques for Decision Making 2018)
  • Article
  • Open Access
13 Citations
3,167 Views
21 Pages

23 November 2020

Multi-attribute group decision-making (MAGDM) is widely applied to various areas for solving real-life problems, including technology selection, credit assessment, strategic planning evaluation, supplier selection, etc. To describe the complex and im...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
22 Citations
2,968 Views
30 Pages

2 March 2020

As an effective technique to qualitatively depict assessment information, a linguistic intuitionistic fuzzy number (LIFN) is more appropriate to portray vagueness and indeterminacy in actual situations than intuitionistic fuzzy number (IFN). The prom...

(This article belongs to the Special Issue Group Decision Making Based on Artificial Intelligence)
  • Article
  • Open Access
18 Citations
4,177 Views
16 Pages

17 December 2018

As the complementary concept of intuitionistic fuzzy entropy, the knowledge measure of Atanassov’s intuitionistic fuzzy sets (AIFSs) has attracted more attention and is still an open topic. The amount of knowledge is important to evaluate intui...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
84 Citations
7,129 Views
12 Pages

23 March 2020

Multiple attribute group decision-making (MAGDM) methods have a significant influence on decision-making in a variety of strategic fields, including science, business and real-life studies. The problem of evaluation in green building energy-saving de...

(This article belongs to the Special Issue Fuzzy Mathematics Applied to Science, Engineering and Sustainability Issues)
  • Article
  • Open Access
7 Citations
4,851 Views
31 Pages

30 June 2019

A new multiple attribute decision making (MADM) model was proposed in this paper in order to cope with the temporal performance of alternatives during different time periods. Although dynamic MADM problems are enjoying a more visible position in the...

(This article belongs to the Special Issue Fuzzy Sets, Fuzzy Logic and Their Applications)
  • Article
  • Open Access
8 Citations
2,602 Views
27 Pages

25 December 2020

Considering the advantages of trapezoid fuzzy two-dimensional linguistic variables (TrF2DLVs), which can not only accurately describe the qualitative evaluation but also use qualitative linguistic variables (LVs) to describe the confidence level of t...

  • Article
  • Open Access
118 Citations
6,151 Views
27 Pages

6 January 2019

In the practical world, there commonly exist different types of multiple-attribute group decision making (MAGDM) problems with uncertain information. Symmetry among some attributes’ information that is already known and unknown, and symmetry be...

(This article belongs to the Special Issue Multi-Criteria Decision-Making Techniques for Improvement Sustainability Engineering Processes)
  • Article
  • Open Access
5 Citations
1,986 Views
46 Pages

27 November 2023

In this paper, based on the advantages of q-rung orthopair fuzzy sets (q-ROFSs), complex fuzzy sets (CFSs) and cubic sets (CSs), the concept of complex cubic q-rung orthopair fuzzy sets (CCuq-ROFSs) is introduced and their operation rules and propert...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
15 Citations
3,198 Views
28 Pages

14 December 2021

In this article, to synthesize the merits of interaction operational laws (IOLs), rough numbers (RNs), power average (PA) and Heronian mean (HM), a new notion of T-spherical fuzzy rough numbers (T-SFRNs) is first introduced to describe the intention...

  • Article
  • Open Access
7 Citations
4,003 Views
20 Pages

26 June 2020

In this paper, we develop a novel computation model of Intuitionistic Fuzzy Values with the usage of fuzzy negations and Archimedean copulas. This novel computation model’s structure is based on the extension of the existing operations of intui...

  • Article
  • Open Access
37 Citations
4,242 Views
33 Pages

19 March 2022

To deal with complicated decision problems with T-Spherical fuzzy values in the aggregation process, T-Spherical fuzzy Bonferroni mean operators are developed by extending the Bonferroni mean and Dombi mean to a T-Spherical fuzzy environment. The T-s...

(This article belongs to the Special Issue New Trends in Fuzzy Sets Theory and Their Extensions)
  • Article
  • Open Access
15 Citations
3,300 Views
29 Pages

25 October 2022

Decision-making problems involve imprecise and incomplete information that can be modelled well using intuitionistic fuzzy numbers (IFNs). Various IFNs are available in the literature for modelling such problems. However, trapezoidal intuitionistic f...

(This article belongs to the Special Issue Fuzzy Set Theory and Its Applications in Decision Making)
  • Article
  • Open Access
1 Citations
3,300 Views
17 Pages

4 December 2018

In the real world, there commonly exists types of multiple attribute decision-making (MADM) problems with partial attribute values and weights totally unknown. Symmetry among some attribute information that is already known and unknown, and symmetry...

(This article belongs to the Special Issue Fuzzy Techniques for Decision Making 2018)
  • Article
  • Open Access
62 Citations
8,743 Views
24 Pages

29 October 2019

The core aim of this paper is to provide a new multiple-criteria decision making (MCDM) model, namely bipolar fuzzy ELimination and Choice Translating REality (ELECTRE) II method, by combining the bipolar fuzzy set with ELECTRE II technique. It can b...

  • Article
  • Open Access
35 Citations
4,013 Views
12 Pages

Multiple Attribute Decision Making Algorithm via Picture Fuzzy Nano Topological Spaces

  • Ibtesam Alshammari,
  • Parimala Mani,
  • Cenap Ozel and
  • Harish Garg

1 January 2021

Picture fuzzy nano topological spaces is an extension of intuitionistic fuzzy nano topological spaces. Every decision in life ends with an answer such as yes or no, or true or false, but we have an another component called abstain, which we have not...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
31 Citations
4,333 Views
22 Pages

20 August 2019

The aims of this study are to propose the linguistic picture fuzzy Dombi (LPFD) aggregation operators and decision-making approach to deal with uncertainties in the form of linguistic picture fuzzy sets. LPFD operators have more flexibility due to th...

(This article belongs to the Special Issue Operations Research Using Fuzzy Sets Theory)
  • Article
  • Open Access
11 Citations
2,801 Views
30 Pages

15 April 2020

Considering the characteristics such as fuzziness and greyness in real decision-making, the interval grey triangular fuzzy number is easy to express fuzzy and grey information simultaneously. And the partition Bonferroni mean (PBM) operator has the a...

  • Article
  • Open Access
17 Citations
5,163 Views
23 Pages

In this paper, we investigate multiple attribute group decision making (MAGDM) problems where decision makers represent their evaluation of alternatives by trapezoidal fuzzy two-dimensional uncertain linguistic variable. To begin with, we introduce t...

(This article belongs to the Special Issue Decision Models in Green Growth and Sustainable Development)
  • Article
  • Open Access
60 Citations
5,044 Views
22 Pages

Analysis of Interval-Valued Intuitionistic Fuzzy Aczel–Alsina Geometric Aggregation Operators and Their Application to Multiple Attribute Decision-Making

  • Tapan Senapati,
  • Radko Mesiar,
  • Vladimir Simic,
  • Aiyared Iampan and ,
  • Ronnason Chinram and
  • Rifaqat Ali
  • + 1 author+ 0 author

29 May 2022

When dealing with the haziness that is intrinsic in decision analysis-driven decision making procedures, interval-valued intuitionistic fuzzy sets (IVIFSs) can be quite effective. Our approach to solving the multiple attribute decision making (MADM)...

(This article belongs to the Special Issue 10th Anniversary of Axioms: Logic)
  • Article
  • Open Access
18 Citations
4,303 Views
28 Pages

4 September 2018

In this paper, a hesitant probabilistic fuzzy multiple attribute group decision making is studied. First, some Einstein operations on hesitant probability fuzzy elements such as the Einstein sum, Einstein product, and Einstein scalar multiplication a...

(This article belongs to the Special Issue Multiple-Criteria Decision-Making (MCDM) Techniques for Business Processes Information Management)
  • Article
  • Open Access
5 Citations
940 Views
28 Pages

24 September 2025

The main focus of this paper is to introduce an algorithm that enhances the outcomes of multiple-attribute decision making by harnessing the adaptability of interval-valued intuitionistic fuzzy (IVIF) sets (IVIFSs). This algorithm utilizes IVIF numbe...

(This article belongs to the Special Issue Recent Advances in Fuzzy Theory Applications)
  • Article
  • Open Access
8 Citations
2,612 Views
29 Pages

12 June 2021

For the aggregation problem of attributes with a correlation relationship, it is often necessary to take the correlation factor into account in order to make the decision results more objective and reasonable. The Heronian mean is an aggregation oper...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
35 Citations
3,764 Views
14 Pages

11 July 2019

A decision-making environment is full of uncertainty and complexity. Existing tools include fuzzy sets, soft sets, intuitionistic fuzzy sets, Pythagorean fuzzy sets (PFSs) and so on. Compared with intuitionistic fuzzy sets (IFSs), PFSs proposed by Ya...

(This article belongs to the Special Issue Multi-Criteria Decision Aid methods in fuzzy decision problems)
  • Article
  • Open Access
43 Citations
4,406 Views
26 Pages

9 August 2018

In this paper we provide an application of neutrosophic bipolar fuzzy sets in daily life’s problem related with HOPE foundation that is planning to build a children hospital, which is the main theme of this paper. For it we first develop the th...

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

7 November 2025

A novel multiple attribute group decision-making (MAGDM) model is introduced in this study, utilizing a diversified hesitant fuzzy multi-granulation information system to address challenges in incomplete information settings. The analysis commences w...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
37 Citations
3,864 Views
17 Pages

Low-carbon tourism plays the increasingly significant role in carbon emission reduction and natural environmental protection. The choice of low-carbon tourist destination (LCTD) often involves the multiple attributes or criteria and can be regarded a...

(This article belongs to the Special Issue Applications of Mathematical Methods and Fuzzy Techniques in Decision Making)
  • Article
  • Open Access
6 Citations
2,878 Views
17 Pages

Linguistic Interval-Valued Spherical Fuzzy Soft Set and Its Application in Decision Making

  • Tie Hou,
  • Zheng Yang,
  • Yanling Wang,
  • Hongliang Zheng and ,
  • Li Zou and
  • Luis Martínez
  • + 1 author+ 0 author

23 January 2024

Under uncertain environments, how to characterize individual preferences more naturally and aggregate parameters better have been hot research topics in multiple attribute decision making (MADM). Fuzzy set theory provides a better mathematical tool t...

(This article belongs to the Special Issue Fuzzy Control Systems: Latest Advances and Prospects)
  • Article
  • Open Access
4 Citations
4,403 Views
20 Pages

11 April 2018

In this paper, the hesitant neutrosophic linguistic set is first defined by extending a hesitant fuzzy set to accommodate linguistic terms and neutrosophic fuzzy values. Some operational laws are defined for hesitant neutrosophic linguistic fuzzy inf...

  • Article
  • Open Access
66 Citations
5,015 Views
15 Pages

11 January 2019

In the age of the knowledge-based economy and the rapid development of information technology, enterprise management is facing great challenges and has entered an era of prudent management. Traditional enterprise performance evaluation focuses on the...

(This article belongs to the Special Issue Fuzzy Techniques for Decision Making 2018)
  • Article
  • Open Access
23 Citations
4,030 Views
28 Pages

9 March 2022

Under the influence of circular economy theory, waste clothing recycling has been widely studied in the resource sector, and the waste clothing recycling channel (WCRC) is the vital link that affects the recycling efficiency of waste clothing. How to...

(This article belongs to the Section G: Energy and Buildings)
  • Article
  • Open Access
9 Citations
5,042 Views
20 Pages

20 October 2016

As one of the emerging renewable resources, the use of photovoltaic cells has become a promise for offering clean and plentiful energy. The selection of a best photovoltaic cell for a promoter plays a significant role in aspect of maximizing income,...

(This article belongs to the Special Issue Solar Photovoltaics Trilemma: Efficiency, Stability and Cost Reduction 2017)
  • Article
  • Open Access
3 Citations
4,425 Views
23 Pages

A Decision-Making Model for Predicting Technology Adoption Success

  • Farzad Tahriri,
  • Maryam Mousavi,
  • Hadi Galavi and
  • Shahryar Sorooshian

2 November 2022

Advanced manufacturing technology (AMT) has the potential to significantly improve manufacturing performance and boost competitiveness in the global market. Investment in AMT remains a promising but potentially risky venture due to the numerous facto...

(This article belongs to the Section Manufacturing Processes and Systems)
  • Article
  • Open Access
85 Citations
4,388 Views
31 Pages

With China’s sustained economic development and constant increase in national income, Chinese nationals’ tourism consumption rate increases. As a major Chinese economic development engine, the domestic tourism industry has entered a trans...

(This article belongs to the Section Environmental Science and Engineering)
  • Article
  • Open Access
4 Citations
1,625 Views
14 Pages

Multi-Objective Optimal Control Method for the 6-DOF Robotic Crusher

  • Guochen Duan,
  • Lele Yao,
  • Zhanyu Zhan,
  • Tao Kang and
  • Chaoyue Guo

15 October 2024

In order to achieve the best crushing effect of the 6-DOF robotic crusher, a multi-objective optimal control method for the 6-DOF robotic crusher has been proposed. Taking the mass fraction of crushed products below 12 mm, total energy consumption, e...

(This article belongs to the Special Issue Mechanical Engineering Reliability Optimization Design)
  • Article
  • Open Access
5 Citations
2,598 Views
36 Pages

Thermochemical Techniques for Disposal of Municipal Solid Waste Based on the Intuitionistic Fuzzy Hypersoft Evaluation Based on the Distance from the Average Solution Technique

  • Rana Muhammad Zulqarnain,
  • Hongwei Wang,
  • Imran Siddique,
  • Rifaqat Ali and ,
  • Hamza Naveed,
  • Saalam Ali Virk and
  • Muhammad Irfan Ahamad
  • + 2 authors+ 0 author

24 January 2025

The processing and disposal of municipal solid waste (MSW) are global problems, particularly in low- to middle-income states like Pakistan. These economic systems will need to tackle problems regarding municipal solid waste disposal to accomplish a s...

(This article belongs to the Special Issue Municipal Solid Waste Management (2nd Edition)—Innovative Solutions and Sustainable Strategies)

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