This article introduces the fuzzy relation. This is the expansion of usual relation, and the value is given at the fuzzy value. At rst, the deenition of the fuzzy relation characterized by membership function is described. Next, the deenitions of the zero relation and universe relation and basic operations of these relations are shown. In this paper C 1 , C 2 are non empty sets. Let us consider...

This paper is devoted to a class of fuzzy or derings which play a fundamental role in de cision analysis and fuzzy control strongly linear fuzzy weak orderings First we see that any relation of that kind can be decom posed into a crisp linear ordering and a fuzzy equivalence relation As a consequence a general representation theorem follows Fi nally a method for constructing strongly lin ear fu...

in this paper, a new definition of fuzzy bounded sets and totallyfuzzy bounded sets is introduced and properties of such sets are studied. thena relation between totally fuzzy bounded sets and n-compactness is discussed.finally, a geometric characterization for fuzzy totally bounded sets in i- topologicalvector spaces is derived.

A generalization of the Apéry-like numbers, which is used to describe the special values ζQ(2) and ζQ(3) of the spectral zeta function for the non-commutative harmonic oscillator, are introduced and studied. In fact, we give a recurrence relation for them, which shows a ladder structure among them. Further, we consider the ‘rational part’ of the higher Apéry-like numbers. We discuss several kin...

In this paper we find closed forms of the generating function ∞ ∑ k=0 U r nx , for powers of any non-degenerate second-order recurrence sequence, Un+1 = aUn+bUn−1, a +4b 6= 0, completing a study began by Carlitz [1] and Riordan [4] in 1962. Moreover, we generalize a theorem of Horadam [3] on partial sums involving such sequences. Also, we find closed forms for weighted (by binomial coefficients...

The aim of this study is to test the “work values” inventory developed by Tevruz and Turgut and to utilize the concept in a model, which aims to create a greater understanding of the work experience. In the study multiple effects of work values, work-value congruence and work centrality on organizational citizenship behavior are examined. In this respect, it is hypothesized that work values and...

Stochastic (Markovian) process algebra extend classical process algebra with probabilistic exponentially distributed time durations denoted by rates (the parameter of the exponential distribution). Defining a semantics for such an algebra, so to derive Continuous Time Markov Chains from system specifications, requires dealing with transitions labeled by rates. With respect to standard process a...

such that f(g(a)) = a for all a ∈ L. Projective lattices are characterized in [3] by four conditions. This talk will discuss two of them that are of current interest. If g in (2) is only required to be order-preserving, it is called an isotone section of the epimorphism (1). We will characterize which lattices L have an isotope section for every epimorphism (1). We will use this to characterize...