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2. On the T-conditionality of T-power based implications

Creator:
Peng, Zuming
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
t-norms, T-power based implications, T-conditionality, and generalized modus ponens
Language:
English
Description:
It is well known that, in forward inference in fuzzy logic, the generalized modus ponens is guaranteed by a functional inequality called the law of T-conditionality. In this paper, the T-conditionality for T-power based implications is deeply studied and the concise necessary and sufficient conditions for a power based implication IT being T-conditional are obtained. Moreover, the sufficient conditions under which a power based implication IT is T∗-conditional are discussed, this discussions give an ideas to construct a t-norm T∗ such that the power based implication IT is T∗-conditional.
Rights:
http://creativecommons.org/licenses/by-nc-sa/4.0/ and policy:public