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Granular Computing
Erschienen in: Granular Computing 3/2019

21.07.2018 | Original Paper

Hesitant bipolar-valued fuzzy sets and bipolar-valued hesitant fuzzy sets and their applications in multi-attribute group decision making

verfasst von: Prasenjit Mandal, A. S. Ranadive

Erschienen in: Granular Computing | Ausgabe 3/2019

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Abstract

In this paper, we propose the concepts of hesitant bipolar-valued fuzzy sets (HBVFSs) and bipolar-valued hesitant fuzzy sets (BVHFSs). The HBVFSs encompass bipolar-valued fuzzy sets (BVFSs) and hesitant fuzzy sets (HFSs) as special cases. The BVHFS is the generalization of the concept of HFS in which the membership degrees of an element to a given set are not exactly defined, but denoted by several possible bipolar-valued fuzzy values. Then, we investigate the basic operations, properties, and comparison laws of HBVFSs and BVHFSs. Based on these basic operations, properties, and comparison laws, we also develop some aggregation operators for solving the multi-attribute group decision-making problems with numerical examples.
Vorheriger Artikel Object and attribute oriented m-polar fuzzy concept lattice using the projection operator
Nächster Artikel Trapezoidal interval type-2 fuzzy soft stochastic set and its application in stochastic multi-criteria decision-making

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Metadaten
Titel
Hesitant bipolar-valued fuzzy sets and bipolar-valued hesitant fuzzy sets and their applications in multi-attribute group decision making
verfasst von
Prasenjit Mandal
A. S. Ranadive
Publikationsdatum
21.07.2018
Verlag
Springer International Publishing
Erschienen in
Granular Computing / Ausgabe 3/2019
Print ISSN: 2364-4966
Elektronische ISSN: 2364-4974
DOI
https://doi.org/10.1007/s41066-018-0118-1

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Preface

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