1. 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