Semantics of programming languages: structures and techniques
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A domain-theoretic approach to computability on the real line
Theoretical Computer Science - Special issue on real numbers and computers
A survey on different triangular norm-based fuzzy logics
Fuzzy Sets and Systems - Special issue on analytical and structural considerations in fuzzy modeling
Interval arithmetic: From principles to implementation
Journal of the ACM (JACM)
Computer Arithmetic in Theory and Practice
Computer Arithmetic in Theory and Practice
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
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
Mathematical Theory of Domains
Mathematical Theory of Domains
A representation of t-norms in interval-valued L-fuzzy set theory
Fuzzy Sets and Systems
Interval Additive Generators of Interval T-Norms
WoLLIC '08 Proceedings of the 15th international workshop on Logic, Language, Information and Computation
On interval fuzzy S-implications
Information Sciences: an International Journal
Bounded lattice t-norms as an interval category
WoLLIC'07 Proceedings of the 14th international conference on Logic, language, information and computation
Interval valued QL-implications
WoLLIC'07 Proceedings of the 14th international conference on Logic, language, information and computation
On interval fuzzy residuated implications and interval quasi-implications
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 7
Fuzzy Sets and Systems
Interval valued fuzzy coimplication
WoLLIC'10 Proceedings of the 17th international conference on Logic, language, information and computation
Relating De Morgan triples with Atanassov's intuitionistic De Morgan triples via automorphisms
International Journal of Approximate Reasoning
Generation of interval-valued fuzzy implications from Kα operators
WILF'11 Proceedings of the 9th international conference on Fuzzy logic and applications
A class of fuzzy multisets with a fixed number of memberships
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
A new way to extend t-norms, t-conorms and negations
Fuzzy Sets and Systems
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This paper relates an interval generalization for t-norms given by the authors to the interval generalization of automorphism given by M. Gehrke et al. Both interval extensions can be seen as interval representations and therefore satisfy the correctness principle of interval computations. T-norms and automorphisms can be seen as objects and morphisms, respectively, of a category. Analogously, we will prove that interval t-norms supplied with interval automorphism is also a category, and we provide a functor between these categories that always returns the best interval representation of any t-norm and automorphism and therefore can be used to deal with optimality of interval fuzzy algorithms.