A theory of vague lattices based on many-valued equivalence relations. I: General representation results

DOI10.1016/j.fss.2004.06.017zbMath1067.06006OpenAlexW2018761380MaRDI QIDQ1772758

Mustafa Demirci

Publication date: 21 April 2005

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2004.06.017

zbMATH Keywords

Fuzzy equivalence relationFuzzy equalityFuzzy latticeFuzzy orderingIndistinguishability operator

Mathematics Subject Classification ID

Fuzzy lattices (soft algebras) and related topics (06D72)

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Cites Work

• Partial ordering in L-underdeterminate sets
• On the structure of F-indistinguishability operators
• Quotients with respect to similarity relations
• Orthomodular structures as quantum logics. Transl. from the Slovak
• Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic
• Fuzzy functions and their fundamental properties
• Metamathematics of fuzzy logic
• Equality relations as a basis for fuzzy control
• Fuzzy lattices
• Fuzzy quantum logics and infinite-valued Łukasiewicz logic
• \(h\)-fuzzy quantum logics
• Vague sets are intuitionistic fuzzy sets
• \(T\)-fuzzy prime ideals
• Representations and constructions of similarity-based fuzzy orderings.
• Metrics and \(\mathcal T\)-equalities
• A theory of vague lattices based on many-valued equivalence relations. II: Complete lattices
• Fuzzy functions and their applications
• Fuzzy groups
• Similarity relations and fuzzy orderings
• A SIMILARITY-BASED GENERALIZATION OF FUZZY ORDERINGS PRESERVING THE CLASSICAL AXIOMS
• A general approach to linguistic approximation
• Vague sets
• Foundations of fuzzy functions and vague algebra based on many-valued equivalence relations, part I: fuzzy functions and their applications
• Foundations of fuzzy functions and vague algebra based on many-valued equivalence relations, part II: vague algebraic notions
• Foundations of fuzzy functions and vague algebra based on many-valued equivalence relations, part III: constructions of vague algebraic notions and vague arithmetic operations
• Indistinguishability operators in measurement theory, Part II: Construction of indistinguishability operators based on probability distributions
• FUNDAMENTALS OF M-VAGUE ALGEBRA AND M-VAGUE ARITHMETIC OPERATIONS
• \(L\)-fuzzy lattices: An introduction
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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