On the implication operator in fuzzy logic
Information Sciences: an International Journal
On fuzzy implication operators
Fuzzy Sets and Systems
Fuzzy implication operators and generalized fuzzy method of cases
Fuzzy Sets and Systems
Fuzzy Sets and Systems - Special issue on fuzzy information processing
Measures of uncertainty in expert systems
Artificial Intelligence
A survey on different triangular norm-based fuzzy logics
Fuzzy Sets and Systems - Special issue on analytical and structural considerations in fuzzy modeling
On global requirements for implication operators in fuzzy modus ponens
Fuzzy Sets and Systems - Special issue on fuzzy modeling and dynamics
Interval arithmetic: From principles to implementation
Journal of the ACM (JACM)
Interval analysis and fuzzy set theory
Fuzzy Sets and Systems - Special issue: Interfaces between fuzzy set theory and interval analysis
Automorphisms, negations and implication operators
Fuzzy Sets and Systems - Implication operators
Interval arithmetic and automatic error analysis in digital computing
Interval arithmetic and automatic error analysis in digital computing
On some new classes of implication operators and their role in approximate reasoning
Information Sciences—Informatics and Computer Science: An International Journal
Methods and Applications of Interval Analysis (SIAM Studies in Applied and Numerical Mathematics) (Siam Studies in Applied Mathematics, 2.)
Formal Aspects of Correctness and Optimality of Interval Computations
Formal Aspects of Computing
Yager's new class of implications Jf and some classical tautologies
Information Sciences: an International Journal
The best interval representations of t-norms and automorphisms
Fuzzy Sets and Systems
On the characterizations of fuzzy implications satisfying I(x,y)=I(x,I(x,y))
Information Sciences: an International Journal
Interval Additive Generators of Interval T-Norms
WoLLIC '08 Proceedings of the 15th international workshop on Logic, Language, Information and Computation
Xor-Implications and E-Implications: Classes of Fuzzy Implications Based on Fuzzy Xor
Electronic Notes in Theoretical Computer Science (ENTCS)
On interval fuzzy S-implications
Information Sciences: an International Journal
Interval valued fuzzy coimplication
WoLLIC'10 Proceedings of the 17th international conference on Logic, language, information and computation
Robustness of interval-valued fuzzy inference
Information Sciences: an International Journal
A class of fuzzy multisets with a fixed number of memberships
Information Sciences: an International Journal
Complete solution sets of inf → interval-valued fuzzy relation equations
Information Sciences: an International Journal
Interval representations, Łukasiewicz implicators and Smets-Magrez axioms
Information Sciences: an International Journal
Interval-valued fuzzy coimplications and related dual interval-valued conjugate functions
Journal of Computer and System Sciences
Information Sciences: an International Journal
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The aim of this work is to analyze the interval canonical representation for fuzzy QL-implications and automorphisms. Intervals have been used to model the uncertainty of a specialist's information related to truth values in the fuzzy propositional calculus: the basic systems are based on interval fuzzy connectives. Thus, using subsets of the real unit interval as the standard sets of truth degrees and applying continuous t-norms, t-conorms and negation as standard truth interval functions, the standard truth interval function of an QL-implication can be obtained. Interesting results on the analysis of interval canonical representation for fuzzy QL-implications and automorphisms are presented. In addition, commutative diagrams are used in order to understand how an interval automorphism acts on interval QL-implications, generating other interval fuzzy QL-implications.