Paper Info
Title
Single Axiomatic Characterization Of A Hesitant Fuzzy Generalization Of Rough Approximation Operators
Abstract
Hesitant fuzzy set is a natural generalization of the classical fuzzy set. A hesitant fuzzy set on a universe of discourse is in terms of a function that when applied to the universe returns a finite subset of [0, 1]. Since the axiomatic method of approximation operator is of great significance in the research of the mathematical structure of rough set theory, it is a fundamental problem in axiomatic method to find the minimum set of abstract axioms. This paper first introduces the basic concepts, properties and related operations of hesitant fuzzy set, hesitant fuzzy rough set and hesitant fuzzy rough approximation operator. Secondly, by defining inner product, outer product and by exploring their related properties, the single axiomatization problem of the classical hesitant fuzzy rough approximation operator is solved. Furthermore, we study the single axiomatization of hesitant fuzzy rough approximation operators derived from serial, reflexive, symmetric and transitive hesitant fuzzy relations, respectively. Finally, we compare and analyze the advantages and disadvantages of hesitant fuzzy set, fuzzy rough set and hesitant fuzzy rough set through some cases.
Year
DOI
Venue
2021
10.1007/s00500-021-05978-w
SOFT COMPUTING
Keywords
DocType
Volume
Hesitant fuzzy approximation operators, Hesitant fuzzy relation, Hesitant fuzzy rough sets
Journal
25
Issue
ISSN
Citations 
20
1432-7643
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Wen Liu183.34
Ju-Sheng Mi2205477.81
Yan Sun300.34