New Hesitant Fuzzy Operators

In this paper, four new operators (O1,O2,O3,O4) are proposed, defined and considered to study the new properties and identities on hesitant fuzzy sets. Since these operators are useful for different operation on hesitant fuzzy sets, the various theorems are proved by using them. The study of the pro...

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Main Authors: G.S. Thakur, Rekha Thakur, Ravi Singh
Format: Article
Language:English
Published: Taylor & Francis Group 2014-09-01
Series:Fuzzy Information and Engineering
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1616865814000466
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spelling doaj-f9f3643d1b454549a4532f4a8c370b442020-11-25T00:47:27ZengTaylor & Francis GroupFuzzy Information and Engineering1616-86582014-09-016337939210.1016/j.fiae.2014.12.007New Hesitant Fuzzy OperatorsG.S. Thakur0Rekha Thakur1Ravi Singh2Department of Computer Applications, Maulana Azad National Institute of Technology, Bhopal 462051, IndiaMakhanlal Chaturvedi Rashtriya Patrakarita Vishwavidyalaya, Bhopal 462016, IndiaRam Krishna Dharmarth Foundation Institute of Science & Technology, Bhopal 462047, IndiaIn this paper, four new operators (O1,O2,O3,O4) are proposed, defined and considered to study the new properties and identities on hesitant fuzzy sets. Since these operators are useful for different operation on hesitant fuzzy sets, the various theorems are proved by using them. The study of the proposed new operators has opened a new area of research and applications.http://www.sciencedirect.com/science/article/pii/S1616865814000466Vague setsHesitant fuzzy setsIntuitionistic fuzzy setFuzzy setsFuzzy multisets
collection DOAJ
language English
format Article
sources DOAJ
author G.S. Thakur
Rekha Thakur
Ravi Singh
spellingShingle G.S. Thakur
Rekha Thakur
Ravi Singh
New Hesitant Fuzzy Operators
Fuzzy Information and Engineering
Vague sets
Hesitant fuzzy sets
Intuitionistic fuzzy set
Fuzzy sets
Fuzzy multisets
author_facet G.S. Thakur
Rekha Thakur
Ravi Singh
author_sort G.S. Thakur
title New Hesitant Fuzzy Operators
title_short New Hesitant Fuzzy Operators
title_full New Hesitant Fuzzy Operators
title_fullStr New Hesitant Fuzzy Operators
title_full_unstemmed New Hesitant Fuzzy Operators
title_sort new hesitant fuzzy operators
publisher Taylor & Francis Group
series Fuzzy Information and Engineering
issn 1616-8658
publishDate 2014-09-01
description In this paper, four new operators (O1,O2,O3,O4) are proposed, defined and considered to study the new properties and identities on hesitant fuzzy sets. Since these operators are useful for different operation on hesitant fuzzy sets, the various theorems are proved by using them. The study of the proposed new operators has opened a new area of research and applications.
topic Vague sets
Hesitant fuzzy sets
Intuitionistic fuzzy set
Fuzzy sets
Fuzzy multisets
url http://www.sciencedirect.com/science/article/pii/S1616865814000466
work_keys_str_mv AT gsthakur newhesitantfuzzyoperators
AT rekhathakur newhesitantfuzzyoperators
AT ravisingh newhesitantfuzzyoperators
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