CHARACTERIZATIONS OF FUZZY STANDARD ELEMENT IN FUZZY LATTICES

In this paper, we introduce the concepts of fuzzy neutral elements, fuzzy join-standard, and fuzzy meet-standard elements in fuzzy lattices. Also, we have proved the fundamental characterization theorem of fuzzy join-standard elements in fuzzy lattices. Moreover, we introduce the concepts of [[nabla...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 15; no. 8; p. 1978
Main Authors Khubchandani, P, Khubchandani, J
Format Journal Article
LanguageEnglish
Published Turkic World Mathematical Society 01.08.2025
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India
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Summary:In this paper, we introduce the concepts of fuzzy neutral elements, fuzzy join-standard, and fuzzy meet-standard elements in fuzzy lattices. Also, we have proved the fundamental characterization theorem of fuzzy join-standard elements in fuzzy lattices. Moreover, we introduce the concepts of [[nabla].sub.F]-standard elements in fuzzy lattices. Further, we have studied the relationship among the fuzzy join-standard, [[nabla].sub.F]-standard, fuzzy meet-distributive, and fuzzy atom in fuzzy lattices. Also, we have introduced the notion and notation of fuzzy p-element in the fuzzy lattice. Keywords: Fuzzy lattices, fuzzy distributive pair, fuzzy semi-distributive pair, fuzzy standard element, [[nabla].sub.F]-standard element, fuzzy p-element AMS Subject Classification: 03B52, 03E72, 06D72
ISSN:2146-1147