This paper gives analogies of Hutton’s quasi-uniformities for complete lattices and extensions of Shi’s pointwise quasi-uniformities to closed set lattices.CLGOH denotes the category of all complete lattices with generalized order homomorphisms asmorphisms and CSL the category of all closed set lattices.HQUnif and SPQUnif denote the categories of Hutton quasi-uniform spaces on complete lattices...

‎in this paper‎, ‎we introduce and study a class of generalized vector quasi-equilibrium problem‎, ‎which includes many vector equilibrium problems‎, ‎equilibrium problems‎, ‎vector variational inequalities and variational inequalities as special cases‎. ‎using one person game theorems‎, ‎the concept of escaping sequences and without convexity assumptions‎, ‎we prove some existence results for ...

In this paper we use concepts from the lattice-based theory of morphological operators and fuzzy sets to develop generalized lattice image operators that can be expressed as nonlinear convolutions that are suprema or infima of fuzzy intersection or union norms. Our emphasis (and differences with previous works) is the construction of pairs of fuzzy dilation and erosion operators that form latti...

Fuzzy associative memories (FAMs) and, in particular, the class of implicative fuzzy associative memories (IFAMs) can be used to implement fuzzy rule-based systems. In this way, a variety of applications can be dealt with. Since there are infinitely many IFAM models, we are confronted with the problem of selecting the best IFAM model for a given application. In this paper, we restrict ourselves...

In this paper we use concepts from the lattice-based theory of morphological operators and fuzzy sets to develop generalized lattice image operators that are nonlinear convolutions that can be expressed as supremum (resp. infimum) of fuzzy intersection (resp. union) norms. Our emphasis and differences with many previous works is the construction of pairs of fuzzy dilation (sup of fuzzy intersec...

In this paper, we introduce a new iterative scheme for finding a common element of the fixed points set of a countable family of uniformly Lipschitzian generalized asymptotically quasi-nonexpansive mappings and the solutions set of equilibrium problems. Some strong convergence theorems of the proposed iterative scheme are established by using the concept of W -mappings of a countable family of ...

The concepts of fuzzy semi-ideals of R with respect to H≤R and generalized fuzzy quotient rings are introduced. Some properties of fuzzy semiideals are discussed. Finally, several isomorphism theorems for generalized fuzzy quotient rings are established.

In this paper, we consider a more general form of generalized abstract economy with a fuzzy constraint correspondence studied in [15, 17]. We establish some existence results for an equilibrium of our generalized abstract economy. We also consider a system of quasi-minimax inequalities and note that it is a unified model of several problems. As applications of our equilibrium existence results,...

We present a new financial decision making model by using the fuzzy generalized probabilistic weighted averaging (FGPWA) operator. The main advantage of this new approach is that it is able to deal with probabilities (objective information) and weighted averages (subjective information) in the same formulation. Moreover, it is also able to deal with an uncertain environment that can be assessed...

Using Generalized Modus Ponens reasoning, we examine the values of inferred conclusion when the premise of the rule and the observed fact have a partial overlapping. We work with fuzzy if-then rules with a single input single output and the t-norm t(x, y) = max((1+λ)(x+y−1)−λxy, 0), λ ≥ −1, for composition operation. This t-norm is important to use because for λ = −1 and λ = 0 it gives the very...