On Developing Interval-Valued Dual Hesitant Fuzzy Bonferroni Mean Aggregation Operator and Their Application to Multicriteria Decision Making

Sarkar, Arun; Biswas, Animesh

doi:10.1007/978-981-13-8578-0_3

Cited by 4 publications

(3 citation statements)

References 16 publications

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“…In MCGDM, aggregation operators are effective tools to combine a set of decision values to produce a single value. For this purpose, several aggregation operators 27–33 have been developed under various imprecise decision‐making contexts. Several linguistic operators 34–38 are also found within fuzzy environments.…”

Section: Introductionmentioning

confidence: 99%

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Linguistic Einstein aggregation operator‐based TOPSIS for multicriteria group decision making in linguistic Pythagorean fuzzy environment

Sarkar¹,

Biswas

2021

Int J Intell Syst

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This article presents a new family of linguistic Pythagorean fuzzy aggregation operations based on Einstein t‐norms and t‐conorms. Some of their necessary properties are also discussed. In the proposed method, a generalized weighted distance measure is developed using a linguistic‐scale function to evaluate differences among linguistic Pythagorean fuzzy sets (LPFSs). An entropy measure is also introduced for LPFS to measure fuzziness associated with linguistic decision information. Moreover, a technique for ordering preference by similarity to ideal solution (TOPSIS)‐based methodology is constructed through the newly defined concepts to address linguistic Pythagorean fuzzy multicriteria group decision‐making problems, where the information about weight is either completely known or unknown. Subsequently, weights of decision makers are computed through a TOPSIS‐based algorithm, and weights of criteria are evaluated by introducing a linguistic Pythagorean fuzzy entropy weight model. To minimize information loss throughout the decision‐making procedure, aggregation is done at the final stage for obtaining the final ranking of alternatives. Finally, several practical examples are considered, solved, and compared with existing methods to exhibit the robustness of the proposed methodology. Also, a sensitivity analysis is performed to establish the dynamic nature of the proposed model.

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Section: Introductionmentioning

confidence: 99%

“…It is to be mentioned here that in the existing LPF‐MCGDM methods, 26–33 the weights of DMs and criteria are known. But in some situations, those weights may not be available.…”

Section: Introductionmentioning

confidence: 99%

Linguistic Einstein aggregation operator‐based TOPSIS for multicriteria group decision making in linguistic Pythagorean fuzzy environment

Sarkar¹,

Biswas

2021

Int J Intell Syst

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“…Zang et al defined distance measure for IVDHF elements and developed IVDHF Heronian mean (HM) and geometric HM aggregation operators in the recent past. Recently, Sarkar and Biswas applied IVDHF Bonferroni mean operator to solve MCDM problems.…”

Section: Introductionmentioning

confidence: 99%

Development of Archimedean t‐norm and t‐conorm‐based interval‐valued dual hesitant fuzzy aggregation operators with their application in multicriteria decision making

Sarkar¹,

Biswas

2020

Engineering Reports

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In this article, Archimedean t‐norm and t‐conorm (At‐N&t‐CN)‐based aggregation operators are developed for aggregating the interval‐valued dual hesitant fuzzy (IVDHF) elements (IVDHFEs), which can cover a wide variety of existing aggregation operators. After introducing the concept of IVDHF set, several related terms, viz., score function, accuracy function, and degree of hesitancy are defined. Using At‐N&t‐CN, different operations for IVDHFEs are presented. Conversion processes from the developed operators to other forms of operators in several variants of fuzzy environments are discussed. An approach to solve multicriteria decision making problem in IVDHF context is presented using the developed concepts. To demonstrate proficiency of the developed method, an illustrative example is presented. Furthermore, several numerical examples, studied previously, are also solved, and achieved solutions are compared with the existing ones to establish the robustness of the proposed operator.

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Hesitant Fuzzy Set

Farhadinia

2021

Hesitant Fuzzy Set

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On Developing Interval-Valued Dual Hesitant Fuzzy Bonferroni Mean Aggregation Operator and Their Application to Multicriteria Decision Making

Cited by 4 publications

References 16 publications

Linguistic Einstein aggregation operator‐based TOPSIS for multicriteria group decision making in linguistic Pythagorean fuzzy environment

Linguistic Einstein aggregation operator‐based TOPSIS for multicriteria group decision making in linguistic Pythagorean fuzzy environment

Development of Archimedean t‐norm and t‐conorm‐based interval‐valued dual hesitant fuzzy aggregation operators with their application in multicriteria decision making

Hesitant Fuzzy Set

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