On Sharma-Mittal’s Entropy under Intuitionistic Fuzzy Environment

Verma, R; Merigó, JM

On Sharma-Mittal’s Entropy under Intuitionistic Fuzzy Environment

Verma, R Merigó, JM

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Publisher:: Taylor and Francis
Publication Type:: Journal Article
Citation:: Cybernetics and Systems, 2021, 52, (6), pp. 498-521
Issue Date:: 2021-01-01

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Field	Value	Language
dc.contributor.author	Verma, R
dc.contributor.author	Merigó, JM
dc.date.accessioned	2022-04-29T01:49:31Z
dc.date.available	2022-04-29T01:49:31Z
dc.date.issued	2021-01-01
dc.identifier.citation	Cybernetics and Systems, 2021, 52, (6), pp. 498-521
dc.identifier.issn	0196-9722
dc.identifier.issn	1087-6553
dc.identifier.uri	http://hdl.handle.net/10453/156799
dc.description.abstract	Entropy plays an important role in many real-life applications to measure the amount of fuzziness associated with an intuitionistic fuzzy set. This paper reviews the different entropy measures defined on intuitionistic fuzzy sets and proposes a new entropy measure called “intuitionistic fuzzy entropy of order- (Formula presented.) and type- (Formula presented.) ” in the setting of the intuitionistic fuzzy environment. This measure extends the idea of Sharma–Mittal’s entropy from probabilistic to the intuitionistic phenomenon. Further, connections between the intuitionistic fuzzy entropy of order- (Formula presented.) and type- (Formula presented.) and other intuitionistic fuzzy/fuzzy entropies are also established. Some interesting properties of this measure are analyzed. Finally, two numerical examples are given to illustrate the performance of the proposed entropy measure by comparing it with other existing entropies.
dc.language	English
dc.publisher	Taylor and Francis
dc.relation.ispartof	Cybernetics and Systems
dc.relation.isbasedon	10.1080/01969722.2021.1903722
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0801 Artificial Intelligence and Image Processing, 1702 Cognitive Sciences
dc.subject.classification	Artificial Intelligence & Image Processing
dc.title	On Sharma-Mittal’s Entropy under Intuitionistic Fuzzy Environment
dc.type	Journal Article
utslib.citation.volume	52
utslib.for	0801 Artificial Intelligence and Image Processing
utslib.for	1702 Cognitive Sciences
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Computer Science
utslib.copyright.status	closed_access	*
pubs.consider-herdc	false
dc.date.updated	2022-04-29T01:49:28Z
pubs.issue	6
pubs.publication-status	Published
pubs.volume	52
utslib.citation.issue	6

Abstract:

Entropy plays an important role in many real-life applications to measure the amount of fuzziness associated with an intuitionistic fuzzy set. This paper reviews the different entropy measures defined on intuitionistic fuzzy sets and proposes a new entropy measure called “intuitionistic fuzzy entropy of order- (Formula presented.) and type- (Formula presented.) ” in the setting of the intuitionistic fuzzy environment. This measure extends the idea of Sharma–Mittal’s entropy from probabilistic to the intuitionistic phenomenon. Further, connections between the intuitionistic fuzzy entropy of order- (Formula presented.) and type- (Formula presented.) and other intuitionistic fuzzy/fuzzy entropies are also established. Some interesting properties of this measure are analyzed. Finally, two numerical examples are given to illustrate the performance of the proposed entropy measure by comparing it with other existing entropies.

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http://hdl.handle.net/10453/156799