beliakov-strongfuzzysubset-2014.pdf (646.38 kB)
Strong fuzzy subsethood measures and strong equalities via implication functions
journal contribution
posted on 2014-01-01, 00:00 authored by D Paternain, H Bustince, J Fernandez, J A Sanz, M Baczyński, Gleb BeliakovGleb Beliakov, R MesiarIn this work we present the definition of strong fuzzy subsethood measure as a unifiying concept for the different notions of fuzzy subsethood that can be found in the literature. We analyze the relations of our new concept with the definitions by Kitainik ( [20]), Young ( [26]) and Sinha and Dougherty ( [23]) and we prove that the most relevant properties of the latter are preserved. We show also several construction methods. © 2014 Old City Publishing, Inc.
History
Journal
Journal of multiple-valued logic and soft computingVolume
22Issue
4-6Pagination
347 - 371Publisher
Old City PublishingLocation
Philadelphia, Pa.ISSN
1542-3980Language
engPublication classification
C Journal article; C1 Refereed article in a scholarly journalCopyright notice
2014, Old City PublishingUsage metrics
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Keywords
Aggregation functionFuzzy equalityFuzzy setsFuzzy subsethood measureImplication functionStrong fuzzy subsethood measureScience & TechnologyTechnologyComputer Science, Artificial IntelligenceComputer Science, Theory & MethodsLogicComputer ScienceScience & Technology - Other TopicsINCLUSION GRADECONSTRUCTIONSETSArtificial Intelligence and Image ProcessingComputer Software
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