The aim of this paper is to prove that the following two mathematical concepts are equivalent: 1) Fuzzy Preorders which are compatible with an "AND" operation and 2) Fuzzy Consequence Operators (FCO) [8] verifying a finiteness property with respect to that "AND" operation. The role proposed to fuzzy consequences operators is to be a general notion for obtaining approximate consequences from app...

There exists infinitely many ways to extend the classical propositional connectives to the set [0, 1] such that the behavior in its extremes is as in the classical logic. Still, it is a consensus that it is not sufficient, demanding that these extensions also preserve some minimal logical properties of the classical connectives. Thus, the notions of t-norms, t-conorms, fuzzy negations, and fuzz...

In this paper neuro-fuzzy technique is used for the first time in modeling eco-friendly furnace parameters to predict the melting rate of the molten metal required to produce homogenous and quality castings. The relationship between the process variables (input) viz. flame temperature, preheat air temperature, rotational speed of the furnace dome, percentage of excess air, melting time, fuel co...

This paper deals with the stabilization of uncertain nonlinear time-delay systems subject to input saturation. A nonlinear time-delay system is first represented by Takagi-Sugeno (T-S) fuzzy model, a set of fuzzy implications which are used to characterize local dynamics with actuator saturation. Based on a delay independent stability analysis, a domain of attraction in which the admissible ini...

Most normal forms for fuzzy logics are versions of conjunctive and disjunctive classical normal forms. Unfortunately, they do not always preserve either tautologies or contradictions which are fundamental for automatic theorem provers based on refutation methods. De Morgan implicative systems are triples like the De Morgan system, but considering fuzzy implications instead of t-conorms. These s...

Ontologies have succeeded as a knowledge representation formalism in many domains of application. Nevertheless, they are not suitable to represent vague or imprecise information. To overcome this limitation, several extensions to classical ontologies based on fuzzy logic have been proposed. Even though different fuzzy logics lead to fuzzy ontologies with very different logical properties, the c...

This paper analyzes the performance of some fuzzy implications proposed in the bibliography together with the operators needed for their definition and for the fuzzy inference process, Examining the specialized literature, it is clear that the selection of the best fuzzy implication operator has become one of the main question in the design of a fuzzy system, being occasionally contradictory (a...

Fuzzy-trace theory has recently been used to account for various types of "false memories" (Brainerd & Reyna, 1998, this issue). Although components of fuzzy-trace theory-in particular the distinction between gist and verbatim traces-overlap with distinctions made in other theories of memory, those in fuzzy-trace theory provide an illuminating account of the conditions under which semantic asso...

In this paper, we revisit and study the basic properties of two families fuzzy implications, so-called (T,N)− (N′,T,N)− implications. More specific, when these implications satisfy, or not, neutrality property (NP), exchange principle (EP), identity (IP) ordering (OP). Moreover, a is presented for law importation (LI) with respect to t- norm. Also, relation Φ−conjugation in