......................................................................................................................................................... 1 1. Computational Intelligence, Logic, and the Mind ...................................................................................... 1 2. Neural Modeling Fields ..............................................................................

The term identification was introduced by Zadeh (1956) as a generic expression for the problem of “determining the input-output relationships of a black box by experimental means.” He cited the various terminologies then prevalent for the same problem: “characterization” “measurement,” “evaluation,” “gedanken experiments” etc., and noted that the term “identification” states “the crux of the pr...

Similarity measure is a very important topic in fuzzy set theory. Torra (2010) proposed the notion of hesitant fuzzy set(HFS), which is a generalization of the notion of Zadeh’ fuzzy set. In this paper, some new similarity measures for HFSs are developed. Based on the proposed similarity measures, a method of multiple attribute decision making under hesitant fuzzy environment is also introduced...

There are two definitions of Einstein-Finsler spaces introduced by Akbar-Zadeh, which we will show is equal along the integral curves $I$-invariant projective vector fields. The sub-algebra $C$-projective fields, leaving $H$-curvature invariant, has been studied extensively. Here on a closed Finsler space with negative definite Ricci curvature reduces to that Killing Moreover, if an admits such...

Various types of semantics games for deductive fuzzy logics, most prominently for Lukasiewicz logic, have been proposed in the literature. These games deviate from Hintikka’s original game for evaluating classical first-order formulas by either introducing an explicit reference to a truth value from the unit interval at each game state (as in [4]) or by generalizing to multisets of formulas to ...

in this paper, the matsumoto metric with special ricci tensor has been investigated. it is proved that, if  is ofpositive (negative) sectional curvature and f is of  -parallel ricci curvature with constant killing 1-form ,then (m,f) is a riemannian einstein space. in fact, we generalize the riemannian result established by akbar-zadeh.

where [f̂(x,K)]α e [X0] α are the α−levels of the fuzzy subsets f̂(x,K) and X̃0, respectively. As in [1] we saw that for each t > 0, the attainable set obtained under the Hüllermeier’s interpretation for (2), or rather, through a family of differential inclusions of the type gives in (3) coincides with the solution obtained applying the principle extension of Zadeh in deterministic solution We wil...

Two major sources of imprecision in human knowledge, linguistic inexactness and stochastic uncertainty, are identified in this study. It is argued that since in most realistic situations these two types exist simultaneously, it is necessary to combine them in a formal framework to yield realistic solutions. This study presents such a framework by combining concepts from probability and fuzzy se...

This contribution deals with developments in the history of philosophy, logic, and mathematics during the time before and up to the beginning of fuzzy logic. Even though the term ‘‘fuzzy’’ was introduced by Lotfi A. Zadeh in 1964/1965, it should be noted that older concepts of ‘‘vagueness’’ and ‘‘haziness’’ had previously been discussed in philosophy, logic, mathematics, applied sciences, and m...

The online unit clustering problem was proposed by Chan and Zarrabi-Zadeh (WAOA2007 and Theory of Computing Systems 45(3), 2009), which is defined as follows: “Points” are given online in the d-dimensional Euclidean space one by one. An algorithm creates a “cluster,” which is a d-dimensional rectangle. The initial length of each edge of a cluster is 0. An algorithm can extend an edge until it r...