in this paper, we define the notions of fuzzy congruence relations and fuzzy convex subalgebras on a commutative residuated lattice and we obtain some related results. in particular, we will show that there exists a one to one correspondence between the set of all fuzzy congruence relations and the set of all fuzzy convex subalgebras on a commutative residuated lattice. then we study fuzzy...

Multi attribute decision making methods are considered as one of the most useful methods for solving ranking problems. In some decision making problems, while the alternatives for corresponding criteria are compared in a pairwise comparison manner, if the criteria are inherently fuzzy, debates will arise in ranking alternatives due to the closeness of the values of the criteria. In this researc...

Clustering is a common task in many applications e.g. digital image processing, text mining and bioinformatics. Many techniques such as k-means, hierarchical clustering and spectral clustering, have been proposed. In a previous study, we proposed a quadratic programming model to address the fuzzy binary clustering problem in the unsupervised setting and then extended it to the general clusterin...

It is known that any binary logic function (in binary logic) can be represented by at least one logic formula, however this is not always true for a ternary logic function (in ternary logic). A ternary logic function can be represented by at least one logic formula if and only if it satisfies a mathematical condition which is called regularity. Also, it is known that a fuzzy logic formula (in s...

the purpose of this study has been concretized in terms of impact of mobileadvertising on the purchase decision of the consumer and aimed to answer toresearch questions: which is the underlying structure of criteria in mobileadvertising? and which criteria are important for consumers in evaluatingmobile advertising? a sample of consumers in taiwan was surveyed and usingfuzzy judgment to determi...

Nowadays fuzzy logic is increasingly used in decision-aided systems since it offers several advantages over other traditional decision-making techniques. The fuzzy decision support systems can easily deal with incomplete and/or imprecise knowledge applied to either linear or nonlinear problems. This paper presents the implementation of a combination of a Real/Binary-Like coded Genetic Algorithm...

In this paper, a special class of redundancy optimization problem with fuzzy random variables is presented. In this model, fuzzy random lifetimes are considered as basic parameters and the Er-expected of system lifetime is used as a major type of system performance. Then a redundancy optimization problem is formulated as a binary integer programming model. Furthermore, illustrative numerical ex...

The aim of this work is to study an essential property in the framework of fuzzy preference structures, which is the transitivity. In particular, we discuss the relationship between the transitivity of a fuzzy large preference relation R and the transitivity of the fuzzy strict preference relation P obtained from R when every pair of elements can be compared. We consider some of the most import...