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- research-articleSeptember 2016
Interpretations on Quantum Fuzzy Computing
Quantum processes provide a parallel model for fuzzy connectives. Calculations of quantum states may be simultaneously performed by the superposition of membership and non-membership degrees of each element regarding the intuitionistic fuzzy sets. This ...
- ArticleOctober 2011
On distributive equations of implications and contrapositive symmetry equations of implications based on a continuous t-Norm
In this paper, we summarize the sufficient and necessary conditions of solutions for the distributive equation of implication I(x, T1(y, z)) = T2(I(x, y), I(x, z)) and characterize all solutions of the functional equations consisting of I(x, T1(y, z)) = ...
- research-articleFebruary 2008
On the Law of Importation (x \wedge y) \longrightarrow z \equiv (x \longrightarrow (y \longrightarrow z)) in Fuzzy Logic
IEEE Transactions on Fuzzy Systems (TOFS), Volume 16, Issue 1Pages 130–144https://doi.org/10.1109/TFUZZ.2007.895969The law of importation, given by the equivalence (x Lambda y) rarr z equiv (xrarr (y rarr z)), is a tautology in classical logic. In A-implications defined by Turksen et aL, the above equivalence is taken as an axiom. In this paper, we investigate the ...
- articleNovember 2002
Concepts in fuzzy scaling theory: order and granularity
Fuzzy Sets and Systems (FSTS), Volume 132, Issue 1Pages 63–75https://doi.org/10.1016/S0165-0114(02)00106-9This paper explains mainly by examples the mathematical foundation of Fuzzy Scaling Theory described in (Wolff: EUFIT' 98, 6th European Congress on Intelligent Techniques and Soft Computing, Vol. I, Aachen, 1998, pp. 555-562). It illustrates the ...