Sets with type-2 operations

DOI10.1016/J.IJAR.2008.03.003zbMath1193.03079OpenAlexW2102616948MaRDI QIDQ962832

Carol L. Walker, Elbert A. Walker

Publication date: 7 April 2010

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijar.2008.03.003

zbMATH Keywords

type-2 fuzzy setfuzzy truth valuessubsets of \([0, 1\)]

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items (17)

Partial Orders on Fuzzy Truth Value Algebras ⋮ Extension operators for type-2 fuzzy sets derived from overlap functions ⋮ Distributivity between extended nullnorms and uninorms on fuzzy truth values ⋮ Type-2 fuzzy implications and fuzzy-valued approximation reasoning ⋮ On type-2 fuzzy sets and their t-norm operations ⋮ A review on interval type-2 fuzzy logic applications in intelligent control ⋮ A triangular type-2 multi-objective linear programming model and a solution strategy ⋮ ON SIMILARITY, INCLUSION MEASURE AND ENTROPY BETWEEN TYPE-2 FUZZY SETS ⋮ Generalized extended fuzzy implications ⋮ Efficient triangular type-2 fuzzy logic systems ⋮ The variety generated by the truth value algebra of type-2 fuzzy sets ⋮ Some general comments on fuzzy sets of type-2 ⋮ Distributivity between extended t-norms and t-conorms on fuzzy truth values ⋮ On extended representable uninorms and their extended fuzzy implications (coimplications) ⋮ A Theory of Approximate Reasoning with Type-2 Fuzzy Set ⋮ On type-2 fuzzy relations and interval-valued type-2 fuzzy sets ⋮ Type-2 operations on finite chains

Cites Work

• Unnamed Item
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• The algebra of fuzzy truth values
• Fuzzy sets of type 2 under algebraic product and algebraic sum
• The concept of a linguistic variable and its application to approximate reasoning. I
• Triangular norms
• AUTOMORPHISMS OF THE ALGEBRA OF FUZZY TRUTH VALUES
• NECESSARY AND SUFFICIENT CONDITIONS FOR FUZZY TRUTH VALUES TO FORM A DE MORGAN ALGEBRA
• Operations in a fuzzy-valued logic
• Some properties of fuzzy sets of type 2
• Some comments on interval valued fuzzy sets
• The zeros of linear combinations of translates of polynomials
• Free De Morgan Bisemigroups and Bisemilattices

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