4.4 Article

A note on possibility multi-fuzzy soft set and its application in decision making

Journal

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Volume 32, Issue 3, Pages 2309-2314

Publisher

IOS PRESS
DOI: 10.3233/JIFS-16264

Keywords

Generalized distributive law; multi-fuzzy set; multi-fuzzy soft set; possibility multi-fuzzy soft set

Funding

  1. Universiti Kebangsaan Malaysia

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The aim of this paper is to correct the assertions (3) and (4) of Theorem 3.23 proposed by Zhang and Shu [Journal of Intelligent and Fuzzy Systems 27 (2014) 2115-2125]. A counterexample illustrates the flaw of the assertions. We introduce the notion of generalized possibility multi-fuzzy soft sets and use it to correct the flaw in those assertions. Finally we introduce two new definitions and five theorems to improve the work of Zhang and Shu, along with two examples.

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