The mean operators and generalized products of fuzzy soft matrices and their applications in MCGDM

Petchimuthu, Subramanian; Garg, Harish; Kamacı, Hüseyin; Atagün, Akın Osman

doi:10.1007/s40314-020-1083-2

Cited by 40 publications

(21 citation statements)

References 37 publications

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“…For these sets, a membership degree of the objects in the universe set is mentioned, so that a better approach to uncertainty is presented. As with SSs, this theory has been applied to various aspects such as decision making [7,8,20,32,33,40], algebraic structures [35,39] and topology [22,23,26,27,30,36,37]. Another combination of FSs and SSs are fuzzy parametrized soft sets given by Çaǧman et al [10].…”

Section: Introductionmentioning

confidence: 99%

On topological structures of virtual fuzzy parametrized fuzzy soft sets

Dalkılıç

2021

Complex Intell. Syst.

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With the generalization of the concept of set, more comprehensive structures could be constructed in topological spaces. In this way, it is easier to express many relationships on existing mathematical models in a more comprehensive way. In this paper, the topological structure of virtual fuzzy parametrized fuzzy soft sets is analyzed by considering the virtual fuzzy parametrized fuzzy soft set theory, which is a hybrid set model that offers very practical approaches in expressing the membership degrees of decision makers, which has been introduced to the literature in recent years. Thus, it is aimed to contribute to the development of virtual fuzzy parametrized fuzzy soft set theory. To construct a topological structure on virtual fuzzy parametrized fuzzy soft sets, the concepts of point, quasi-coincident and mapping are first defined for this set theory and some of its characteristic properties are investigated. Then, virtual fuzzy parametrized fuzzy soft topological spaces are defined and concepts such as open, closed, closure, Q-neighborhood, interior, base, continuous, cover and compact are given. In addition, some related properties of these concepts are analyzed. Finally, many examples are given to make the paper easier to understand.

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Section: Introductionmentioning

confidence: 99%

On topological structures of virtual fuzzy parametrized fuzzy soft sets

Dalkılıç

2021

Complex Intell. Syst.

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“…In the future, we will extend the current study to the different applications such as image processing, decisionmaking problems etc. Also, there is a scope of elongating the presented work by considering the information about the parameter in the soft set theory [46][47][48][49][50].…”

Section: Resultsmentioning

confidence: 99%

Generalized dice similarity measures for complex q-Rung Orthopair fuzzy sets and its application

Garg

Ali

Mahmood

2020

Complex Intell. Syst.

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Complex q-rung orthopair fuzzy set (Cq-ROFS) is an extension of Complex fuzzy set, intuitionistic fuzzy set, Pythagorean fuzzy set, to cope with complicated and inconsistence information in the environment of fuzzy set theory with a wider domain. In Cq-ROFS, each attribute is characterized by the degree of membership and non-membership degree over the unit-disc of the complex plan. Keeping the advantages of Cq-ROFSs, in this manuscript, we present a concept of the dice similarity and generalized dice similarity measures between the pairs of the sets. The basic axioms and properties are also stated. Further, we extend the proposed measures to weighted dice similarity measures and investigated their properties. The certain properties and the special cases of the proposed work are also derived. The applicability of the proposed measures is demonstrated with some numerical examples related to medical diagnoses and pattern recognition. The superiority and advantages of the measures over the existing ones are also illustrated with certain numerical examples.

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“…This method is suitable across all fields when the decision‐making problem data is ambiguous. We can extend further by integrating some advanced aggregation operators mentioned in [50–52], similarity measures and other projection methods in the neutrosophic environment.…”

Section: Resultsmentioning

confidence: 99%

Multiple‐criteria decision analysis process by using prospect decision theory in interval‐valued neutrosophic environment

Chinnadurai

Albert

2020

CAAI trans. intell. technol.

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This study intends to present an innovative study for ranking the alternatives in multiple‐criteria decision analysis (MCDA) problems under the interval‐valued neutrosophic soft set (IVNSS) environment. In this study, to illustrate the notion of objective and subjective weight, the prospect decision theory (PDT) performs an imperative role in determining decision‐making problems. PDT predicts human behaviour in terms of gains and losses and considers the expected utility relation to a reference point rather than complete outcomes. In the analysis of merged criteria weight and the prospect decision‐making matrix, the authors get a new dimension level for ranking the array of alternatives. This manuscript provides an improved score function (SF) to convert the interval‐valued membership grades of truth, indeterminacy and falsity into a mathematical and computational value. The advantage of this method is that it merges the objective and subjective weight during the proposed method. They propose an algorithm based on the SF to determine MCDA problems with IVNSSs. They illustrate a case study and provide various comparative analyses to show its significance over existing studies.

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The mean operators and generalized products of fuzzy soft matrices and their applications in MCGDM

Cited by 40 publications

References 37 publications

On topological structures of virtual fuzzy parametrized fuzzy soft sets

On topological structures of virtual fuzzy parametrized fuzzy soft sets

Generalized dice similarity measures for complex q-Rung Orthopair fuzzy sets and its application

Multiple‐criteria decision analysis process by using prospect decision theory in interval‐valued neutrosophic environment

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