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Typical hesitant fuzzy rough sets

  • Xi'an Jiaotong University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

4 Scopus citations

Abstract

This paper studies the constructive approach for rough set approximation operators in the typical hesitant fuzzy environment where the typical hesitant fuzzy set (THFS) is a generalization of the classical fuzzy set by possessing a membership degree of a finite non-empty subset of the unitary interval. Firstly, the basic definitions and the existing order structure of the THFSs is reviewed. A new partial order of typical hesitant fuzzy elements (THFEs) is proposed. The intersection and the union of it are further defined and their properties are studied. Secondly, the typical hesitant fuzzy rough approximation operators are constructed based on the aforementioned intersection and union. The representations of both the hesitant fuzzy rough approximation operators and the rough hesitant fuzzy approximation operators are then presented.

Original languageEnglish
Title of host publicationProceedings of 2015 International Conference on Machine Learning and Cybernetics, ICMLC 2015
PublisherIEEE Computer Society
Pages328-333
Number of pages6
ISBN (Electronic)9781467372213
DOIs
StatePublished - 30 Nov 2015
Event14th International Conference on Machine Learning and Cybernetics, ICMLC 2015 - Guangzhou, China
Duration: 12 Jul 2015 → 15 Jul 2015

Publication series

NameProceedings - International Conference on Machine Learning and Cybernetics
Volume1
ISSN (Print)2160-133X
ISSN (Electronic)2160-1348

Conference

Conference14th International Conference on Machine Learning and Cybernetics, ICMLC 2015
Country/TerritoryChina
CityGuangzhou
Period12/07/15 → 15/07/15

Keywords

  • Intersection
  • Partial order
  • Typical hesitant fuzzy rough sets
  • Typical hesitant fuzzy sets
  • Union

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