Modalities Based on Double Negation
Modal operators play an important role in fuzzy theory, and in recent years researchers have devoted more effort on this topic. Here we concentrate on continuous strictly monotonously increasing Archimedian t-norms. In our study, we will construct modal operators related to negation operators and we introduce graded modal operators.
KeywordsNegation Modalities Pliant logic Necessity and possibility operators
- 7.Gottwald, S., Hájek, P.: Triangular norm-based mathematical fuzzy logics. Logical Algebraic, Analytic and Probabilistic Aspects of Triangular Norms, pp. 275–299 (2005)Google Scholar
- 11.Orlowska, E.: A logic of indiscernibility relations. LNCS, vol. 208, pp. 177–186. Springer, Berlin (1985)Google Scholar