In this paper we investigate the propositional logic of standard algebras for Hájek’s Basic Fuzzy Logic BL in a language expanded with propositional constants for the idempotent elements delimiting the L-, G-, and Π-components of the algebra. We start from a fixed standard BL-algebra; introduce new propositional constants; present a suitable set of axioms; investigate completeness results; and ...

BL-algebras are algebraic structures corresponding to Hajek’s basic fuzzy logic. The aim of this paper is analyze the structure using commutative rings. Due computational considerations, we interested in finite case. We present new ways generate rings and provide summarizing statistics. Furthermore, investigated BL-rings, i.e., whose lattice ideals can be equipped with a BL-algebra. A character...

background: alpha particle irradiation from radon progeny is one of the major natural sources of effective dose in the public population. oncogenic transformation is a biological effectiveness of radon progeny alpha particle hits. the biological effects which has caused by exposure to radon, were the main result of a complex series of physical, chemical, biological and physiological interaction...

This work focuses on adapting artificial intelligence techniques for urban growth modeling using multitemporal imagery. Fuzzy set theory and cellular automata are used for this purpose. Fuzzy set theory preserves the spatial continuity of the growth process through allowing a test pixel to be partially developed unlike the binary crisp system (developed/undeveloped). The development level ident...

An interpretation of lattice-valued logic, defined by Titani, in basic fuzzy logic, defined by Hájek, is presented. Moreover, Titani’s axioms of lattice-valued set theory are interpreted in fuzzy set theory, under slight modifications of the fuzzy set theory axiomatics.