On the characterizations of fuzzy implications satisfying \(I(x,I(y,z))=I(I(x,y),I(x,z))\)
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Publication:1726392
DOI10.1016/J.IJAR.2017.11.004zbMath1454.03036OpenAlexW2768710060MaRDI QIDQ1726392
A. Cruz, Regivan H. N. Santiago, Benjamín René Callejas Bedregal
Publication date: 20 February 2019
Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijar.2017.11.004
Related Items (3)
Residual implications on lattice \(\mathcal{L}\) of intuitionistic truth values based on powers of continuous t-norms ⋮ New results of fuzzy implications satisfying \(i(x,i(y,z))=i(I(x,y),i(x,z))\) ⋮ Introducing fuzzy reactive graphs: a simple application on biology
Cites Work
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- \(QL\)-operations and \(QL\)-implication functions constructed from tuples \((O,G,N)\) and the generation of fuzzy subsethood and entropy measures
- On a new class of fuzzy implications: \(h\)-implications and generalizations
- Relating De Morgan triples with Atanassov's intuitionistic De Morgan triples via automorphisms
- On some new classes of implication operators and their role in approximate reasoning
- On fuzzy complements
- A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms
- Fuzzy implications
- On interval fuzzy negations
- Fuzzy power sets and fuzzy implication operators
- Axiomatic approach to implication for approximate reasoning with fuzzy logic
- Applicability of the fuzzy operators in the design of fuzzy logic controllers
- A survey on different triangular norm-based fuzzy logics
- Metamathematics of fuzzy logic
- Triangular norms
- A review of the relationships between implication, negation and aggregation functions from the point of view of material implication
- Automorphisms, negations and implication operators
- Residual implications revisited. Notes on the Smets-Magrez theorem.
- QL-implications: some properties and intersections
- On the characterizations of fuzzy implications satisfying \(I(x,y)=I(x,I(x,y))\)
- Interval representations, Łukasiewicz implicators and Smets-Magrez axioms
- On contra-symmetry and MPT conditionality in fuzzy logic
- Solutions of Equation I(x,y) = I(x,I(x,y)) for Implications Derived from Uninorms
- On the Boolean-like Law I(x, I(y, x)) = 1
- A Characterization of Classic-Like Fuzzy Semantics
- ON MEASURES OF FUZZINESS AND FUZZY COMPLEMENTS
- Xor-Implications and E-Implications: Classes of Fuzzy Implications Based on Fuzzy Xor
- Analyzing the Relationship between Interval-valued D-Implications and Interval-valued QL-Implications
- A normal form which preserves tautologies and contradictions in a class of fuzzy logics
- Fuzzy sets
- On notation for ordinal numbers
- Statistical Metrics
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