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On Negations and Algebras in Fuzzy Set Theory

1986
Abstract : Dual automorphisms, involutions and intuitionistic negations on the lattice F(X) of Fuzzy Sets taking values on a complete distributive lattice L are characterized. All Symmetric, De Morgan and Intuitionistic Algebras on F(X) and their isomorphisms are described. Finally, negation functions and their conjugated classes are characterized.
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Fuzzy Negation

1999
E. Ferri, A. Kandel, G. Langholz
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Characterizations of (U2,N)-implications generated by 2-uninorms and fuzzy negations from the point of view of material implication

Fuzzy Sets and Systems, 2020
Hongjun Zhou
exaly

Parametric Fuzzy Implications Produced via Fuzzy Negations with a Case Study in Environmental Variables

Symmetry, 2021
Stefanos Makariadis +2 more
exaly

New Negations on the Membership Functions of Type-2 Fuzzy Sets

IEEE Transactions on Fuzzy Systems, 2019
Carmen Torres-Blanc, Susana Cubillo, Pablo Hernández +2 more
exaly

Negations With Respect to Admissible Orders in the Interval-Valued Fuzzy Set Theory

IEEE Transactions on Fuzzy Systems, 2018
Humberto Bustince, Radko Mesiar, Anna Kolesárová +2 more
exaly

A characterization for some type-2 fuzzy strong negations

Knowledge-Based Systems, 2020
Susana Cubillo +2 more
exaly