This paper presents a real-time full-programmable fuzzy compiler based on piecewise linear interpolation techniques designed to be executed in SIMD (Single Instruction Multiple Data) architectures. A fullprogrammable fuzzy processor is defined as a system where the set of rules, the membership functions, the t-norm, the t-conorm, the aggregation operator, the propagation operator, and the defuz...

Using Generalized Modus Ponens reasoning, we examine the values of the inferred conclusion by using Fodor's implication in order to interpret a fuzzy if-then rule with a single input single output and the tnorm ( ) ( )( ) ( xy y x max y , x t ) λ λ − − + + = 1 1 , 1 − ≥ λ , for composition operation. This t-norm is important to use because for 1 − = λ and 0 = λ it gives the commonly used t-norm...

In this paper we present a fuzzy version of SHOIN (D), the corresponding Description Logic of the ontology description language OWL DL. We show that the representation and reasoning capabilities of fuzzy SHOIN (D) go clearly beyond classical SHOIN (D). Interesting features are: (i) concept constructors are based on t-norm, t-conorm, negation and implication; (ii) concrete domains are fuzzy sets...

This paper deals with the simplest fuzzy PID controllers which employ two fuzzy sets for each of the three input variables and four fuzzy sets for the output variable. Mathematical model for a fuzzy PID controller is derived by using asymmetric Γ-function type and L-function type membership functions for each input, asymmetric trapezoidal membership functions for output, algebraic product trian...

—In [2], I. B. Turksen looked at the Booleandisjunctive normal form of a term in two variables and the Boolean-conjunctive normal form of that term. He concluded that “for some cases of certain families,” when these forms are interpreted in a De Morgan system by replacing the meet by a t-norm and the join by the dual t-conorm, the disjunctive normal form is contained in the conjunctive normal f...

In this paper, we deal with the invertible elements in a complete intuitionistic fuzzy pseudo normed algebra (in short, IFPNA) respect to Archimedean t-norm and t-conorm. It is done by studying continuity of algebraic operations IFPNA investigating condition for existence inverse an element IFPNA. Also some properties are studied. observed that set open set.

In this paper, a new method for merging multiple inconsistent knowledge bases in the framework of possibilistic logic is presented. We divide the fusion process into two steps: one is called the splitting step and the other is called the combination step. Given several inconsistent possibilistic knowledge bases (i.e. the union of these possibilistic bases is inconsistent), we split each of them...

The triangular linguistic cubic fuzzy sets (TLCFSs) can express the data easily and is also very useful in modeling of uncertain decision making (DM) problems. First all, on basis Dombi t-norm t-conorm (DTT), we propose novel operational rules numbers (TLCFNs). We some new aggregation operators TLCFNs based newly developed operations, i.e., weighted averaging (TLCFDWA), geometric (TLCFDWG), ord...