Title :
A few remarks on some T-conditional functions
Author :
Trillas, Enric ; Cubillo, Susana ; del Campo, C.
Author_Institution :
Dpto. Inteligencia Artificial, Univ. Politecnica de Madrid, Spain
Abstract :
In the classical case the inequalities that characterize those implications that reach Modus Ponens through a·(a→b)=a·b are a·b⩽a→b⩽a´+b. In this paper we attempt to study some fuzzy relations verifying its generalization, that is to say, relations I verifying the inequalities T (a, b)⩽I (a, b)⩽IT (a, b), after analyzing for what t-norms are T-conditionals
Keywords :
Boolean functions; fuzzy logic; fuzzy set theory; generalisation (artificial intelligence); Boolean function; Modus Ponens; T-conditional functions; fuzzy conditionals; fuzzy relations; generalization; inequality; t-norms; Boolean algebra; Fuzzy logic;
Conference_Titel :
Fuzzy Systems, 1997., Proceedings of the Sixth IEEE International Conference on
Conference_Location :
Barcelona
Print_ISBN :
0-7803-3796-4
DOI :
10.1109/FUZZY.1997.616361
