论文信息 - Fuzzy connectives via matrix logic

Fuzzy connectives via matrix logic

Abstract An approach to the definition of fuzzy logical connectives is proposed using matrix logic. This matrix representation of Boolean logical operators enables us to link together conjunction, disjunction and negation differently from the traditional De Morgan law. In this framework the Frank family appears as the only possibility. In addition, the parameters in conjuntion and in disjunction are reciprocal to each other. The usefulness of this case is illustrated by two applications.

János Fodor | J. Fodor

[1] August Stern. Matrix logic , 1988 .

[2] C. Alsina. On a family of connectives for fuzzy sets , 1985 .

[3] M. J. Frank. On the simultaneous associativity of F(x, y) and x+y-F(x, y). (Short Communication). , 1978 .

[4] S. Weber. A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms , 1983 .

[5] M. J. Frank. On the simultaneous associativity ofF(x,y) andx +y -F(x,y) , 1979 .

[6] Liu Dsosu,et al. Fuzzy random measure and its extension theorem , 1983 .

[7] E. Trillas. Sobre funciones de negación en la teoría de conjuntos difusos. , 1979 .

[8] J. Fodor,et al. Valued preference structures , 1994 .

[9] J. Fodor. On fuzzy implication operators , 1991 .