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19 Results Found

  • Article
  • Open Access
30 Citations
3,595 Views
21 Pages

On Single-Valued Neutrosophic Ideals in Šostak Sense

  • Yaser Saber,
  • Fahad Alsharari and
  • Florentin Smarandache

25 January 2020

Neutrosophy is a recent section of philosophy. It was initiated in 1980 by Smarandache. It was presented as the study of origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. In this paper, we int...

(This article belongs to the Special Issue New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic & Plithogenic Optimizations)
  • Article
  • Open Access
3 Citations
2,525 Views
18 Pages

31 December 2020

This paper aims to mark out new concepts of r-single valued neutrosophic sets, called r-single valued neutrosophic £-closed and £-open sets. The definition of £-single valued neutrosophic irresolute mapping is provided and its chara...

(This article belongs to the Special Issue New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic & Plithogenic Optimizations)
  • Article
  • Open Access
55 Citations
5,011 Views
17 Pages

22 June 2018

A single-valued neutrosophic set (SVNS) is a special case of a neutrosophic set which is characterized by a truth, indeterminacy, and falsity membership function, each of which lies in the standard interval of [0, 1]. This paper presents a modified T...

(This article belongs to the Special Issue Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets)
  • Article
  • Open Access
12 Citations
4,211 Views
13 Pages

20 February 2019

Multi-attribute decision-making refers to the decision-making problem of selecting the optimal alternative or sorting the scheme when considering multiple attributes, which is widely used in engineering design, economy, management and military, etc....

(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
29 Citations
5,363 Views
13 Pages

11 August 2017

A refined single-valued/interval neutrosophic set is very suitable for the expression and application of decision-making problems with both attributes and sub-attributes since it is described by its refined truth, indeterminacy, and falsity degrees....

(This article belongs to the Special Issue Neutrosophic Theories Applied in Engineering)
  • Article
  • Open Access
12 Citations
3,671 Views
14 Pages

17 August 2020

With the increasing automation of mechanical equipment, fault diagnosis becomes more and more important. However, the factors that cause mechanical failures are becoming more and more complex, and the uncertainty and coupling between the factors are...

(This article belongs to the Special Issue New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic & Plithogenic Optimizations)
  • Article
  • Open Access
37 Citations
6,485 Views
16 Pages

31 December 2022

Hausdorff distance is one of the important distance measures to study the degree of dissimilarity between two sets that had been used in various fields under fuzzy environments. Among those, the framework of single-valued neutrosophic sets (SVNSs) is...

(This article belongs to the Special Issue Feature Papers in Computer Science & Engineering)
  • Article
  • Open Access
67 Citations
5,562 Views
10 Pages

18 July 2017

The neutrosophic cubic set can contain much more information to express its interval neutrosophic numbers and single-valued neutrosophic numbers simultaneously in indeterminate environments. Hence, it is a usual tool for expressing much more informat...

(This article belongs to the Special Issue Neutrosophic Theories Applied in Engineering)
  • Article
  • Open Access
12 Citations
2,643 Views
9 Pages

5 May 2018

A simplified neutrosophic set (containing interval and single-valued neutrosophic sets) can be used for the expression and application in indeterminate decision-making problems because three elements in the simplified neutrosophic set (including inte...

  • Article
  • Open Access
18 Citations
3,763 Views
11 Pages

12 June 2018

In inconsistent and indeterminate settings, as a usual tool, the neutrosophic cubic set (NCS) containing single-valued neutrosophic numbers and interval neutrosophic numbers can be applied in decision-making to present its partial indeterminate and p...

(This article belongs to the Special Issue Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets)
  • Article
  • Open Access
31 Citations
3,805 Views
12 Pages

15 June 2018

This work indicates the insufficiency of existing symmetry measures (SMs) between asymmetry measures of simplified neutrosophic sets (SNSs) and proposes the improved normalized SMs of SNSs, including the improved SMs and weighted SMs in single-valued...

  • Article
  • Open Access
28 Citations
3,854 Views
13 Pages

11 May 2018

Based on the multiplicity evaluation in some real situations, this paper firstly introduces a single-valued neutrosophic multiset (SVNM) as a subclass of neutrosophic multiset (NM) to express the multiplicity information and the operational relations...

(This article belongs to the Special Issue Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets)
  • Article
  • Open Access
5 Citations
3,090 Views
24 Pages

1 March 2021

Since application of integrated energy systems (IESs) has formed a markedly increasing trend recently, selecting an appropriate integrated energy system construction scheme becomes essential to the energy supplier. This paper aims to develop a multi-...

(This article belongs to the Collection Sustainable Electric Power Systems Research)
  • Article
  • Open Access
56 Citations
4,320 Views
26 Pages

17 August 2019

With the development of the social economy and enlarged volume of information, the application of multiple-attribute decision-making (MADM) has become increasingly complex, uncertain, and obscure. As a further generalization of hesitant fuzzy set (HF...

(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
5 Citations
4,136 Views
16 Pages

Neutrosophic set (NS) is a new branch of philosophy to deal with the origin, nature, and scope of neutralities. Many kinds of correlation coefficients and similarity measures have been proposed in neutrosophic domain. In this work, by considering tha...

  • Article
  • Open Access
52 Citations
6,239 Views
15 Pages

This paper presents a technique based on the ordered weighted averaging (OWA) distance for the single-valued neutrosophic linguistic (SVNL) technique for order preference by similarity to an ideal solution (TOPSIS). First, the inadequacies of the exi...

(This article belongs to the Special Issue Operations and Innovations for the Environment)
  • Article
  • Open Access
14 Citations
3,909 Views
19 Pages

13 July 2020

The grand theory of action of Parsons has an important place in social theories. Furthermore, there are many uncertainties in the theory of Parsons. Classical math logic is often insufficient to explain these uncertainties. In this study, we explain...

(This article belongs to the Special Issue New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic & Plithogenic Optimizations)
  • Article
  • Open Access
19 Citations
3,664 Views
12 Pages

Simplifying the Complexity in the Problem of Choosing the Best Private-Sector Partner

  • Peiyao Qiu,
  • Ali Sorourkhah,
  • Nasreen Kausar,
  • Tonguc Cagin and
  • Seyyed Ahmad Edalatpanah

4 February 2023

Governments frequently partner with the private sector to provide infrastructure and public services. These cooperations, known as public–private partnerships (PPPs), have often failed. Sometimes, due to the problem’s complexity, the publ...

(This article belongs to the Special Issue Simplifying the Complex: Modeling and Analysis for System Design and Management)
  • Article
  • Open Access
29 Citations
4,730 Views
9 Pages

Based on dynamic information collected from different time intervals in some real situations, this paper firstly proposes a dynamic single valued neutrosophic multiset (DSVNM) to express dynamic information and operational relations of DSVNMs. Then,...

(This article belongs to the Section Information Theory and Methodology)