An adjustable weighted soft discernibility matrix based on generalized picture fuzzy soft set and its applications in decision making

Khan, Muhammad Jabir; Лю, Пэйдэ; Kumam, Wiyada; Rehman, Habib ur

doi:10.3233/jifs-190812

Cited by 35 publications

(25 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Khan et al [12] define the generalized picture fuzzy soft set and applied them to decision-making problems. For study more about decision making, we refer to [13][14][15][16][17][18][19].Yager [20,21] defines the Pythagorean fuzzy sets P yF S, which is the successful extension of intuitionistic fuzzy sets, by putting a new condition on positive membership ξ and negative membership functions ν, i.e., 0 ≤ ξ 2 + ν 2 ≤ 1. This new condition expand the domain of membership functions like if we have ξ = 0.7 and ν = 0.5, then we cannot deal it with intuitionistic fuzzy set because 0.7 + 0.5 ≥ 1 but 0.7 2 + 0.5 2 = 0.49 + 0.25 = 0.74 ≤ 1 and hence P yF S applied successfully.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Distance and Similarity Measures for Spherical Fuzzy Sets and Their Applications in Selecting Mega Projects

et al. 2020

Self Cite

View full text Add to dashboard Cite

A new condition on positive membership, neutral membership, and negative membership functions give us the successful extension of picture fuzzy set and Pythagorean fuzzy set and called spherical fuzzy sets ( SFS ) . This extends the domain of positive membership, neutral membership, and negative membership functions. Keeping in mind the importance of similarity measure and application in data mining, medical diagnosis, decision making, and pattern recognition, several studies on similarity measures have been proposed in the literature. Some of those, however, cannot satisfy the axioms of similarity and provide counter-intuitive cases. In this paper, we proposed the set-theoretic similarity and distance measures. We provide some counterexamples for already proposed similarity measures in the literature and shows that how our proposed method is important and applicable to the pattern recognition problems. In the end, we provide an application of a proposed similarity measure for selecting mega projects in under developed countries.

show abstract

mentioning

confidence: 99%

“…Khan et al [12] define the generalized picture fuzzy soft set and applied them to decision-making problems. For study more about decision making, we refer to [13][14][15][16][17][18][19].…”

mentioning

confidence: 99%

Distance and Similarity Measures for Spherical Fuzzy Sets and Their Applications in Selecting Mega Projects

et al. 2020

Self Cite

View full text Add to dashboard Cite

show abstract

“…In the future, we will apply these similarity measures to different real life applications and analyze other similarity measure-based MCDM methods. We will also formulate this kind of similarity measures for spherical fuzzy sets [49][50][51], T-spherical fuzzy sets [52], picture fuzzy sets [53][54][55], neutrosophic sets [56] and linear Diophantine sets [57].…”

Section: Discussionmentioning

confidence: 99%

Improved cosine and cotangent function-based similarity measures for q-rung orthopair fuzzy sets and TOPSIS method

Khan

Alreshidi

Kumam

2021

Complex Intell. Syst.

Self Cite

View full text Add to dashboard Cite

Despite the importance of cosine and cotangent function- based similarity measures, the literature has not provided a satisfactory formulation for the case of q-rung orthopair fuzzy set (qROFS). This paper criticizes the existing attempts in terms of respect of the basic axioms of a similarity measure and strict inclusion relation. In addition, the maximum operator-based similarity measures are criticized. Then, new improved, axiomatically supported cosine and cotangent function-based similarity measures for qROFSs are proposed. Additional properties of the new similarity measures are discussed to guarantee their good performance. Two algorithmic procedures of TOPSIS method that based on fixed and relative ideal solutions are discussed. The numerical examples are provided to support the findings

show abstract

“…The enterprise resource planning systems selection problem was solved by Hamy mean operators for

sans-serifqROFSs

by Wang et al 26 The multiplicative consistency of preference relation of

sans-serifqROFSs

was analyzed by Zhang et al 27 The

sans-serifqROF

multiparametric similarity measure and combinative distance‐based assessment were used to evaluate classroom teaching quality 28 . The distance, similarity, entropy, and inclusion measures for

sans-serifqROFSs

were defined by Peng et al 29 The similarity measures of

sans-serifqROFSs

based on cosine function were expounded by Wang et al 30 For more literature on decision making, refer to References [31–41].…”

Section: Introductionmentioning

confidence: 99%

Knowledge measure for the q‐rung orthopair fuzzy sets

2020

Self Cite

View full text Add to dashboard Cite

An adjustable weighted soft discernibility matrix based on generalized picture fuzzy soft set and its applications in decision making

Cited by 35 publications

References 41 publications

Distance and Similarity Measures for Spherical Fuzzy Sets and Their Applications in Selecting Mega Projects

Distance and Similarity Measures for Spherical Fuzzy Sets and Their Applications in Selecting Mega Projects

Improved cosine and cotangent function-based similarity measures for q-rung orthopair fuzzy sets and TOPSIS method

Knowledge measure for the q‐rung orthopair fuzzy sets

Contact Info

Product

Resources

About