The transitivity of fuzzy relations with respect to a subset of quasi-linear functions in the unit interval is studied. A new construction of transitive relations with respect to an archimedean t-norm is proposed.

Feature subset selection has become an important challenge in areas of pattern recognition, machine learning and data mining. As different semantics are hidden in numerical and categorical features, there are two strategies for selecting hybrid attributes: discretizing numerical variables or numericalize categorical features. In this paper, we introduce a simple and efficient hybrid attribute r...

In this paper, we show that every selective groupoid induced by a fuzzy subset is a pogroupoid, and we discuss several properties in quasi ordered sets by introducing the notion of a framework.

Kim [Int. J. Math. & Math. Sc. 26:11 (2001), 707-712.] Considered the semigroup of the fuzzy points of a semigroup . In this paper, we discuss the relation between some ideals of and the subset of .

Let d be a metric on the set FP(X) of fuzzy subsets of a set X. A midpoint of two fuzzy subsets μ, ν ∈ FP(X) is any fuzzy subset ξ ∈ FP(X) such that d(ξ, μ) = d(ξ, ν) = 1 2d(μ, ν). These midpoints can be used to describe “middle ways” or “compromises” between two situations described by the fuzzy subsets μ and ν. In this work we explicitly compute midpoints for weighted Hamming distances and fo...

This paper proposes to cluster any finite data set by optimizing with respect to a cluster score function, assigning a positive real worth to each data subset and thereby dealt with in pseudo-Boolean form, so that the multilinear extension (MLE) allows to evaluate fuzzy data subsets or clusters as well. A fuzzy clustering being a collection of fuzzy clusters over which every data point has to d...

We establish some common fixed point theorems for Kannan fuzzy mappings on closed balls in a complete metric space. Our investigation is based on the fact that fuzzy fixed point results can be obtained simply from the fixed point theorem of multivalued mappings with closed values. In real world problems there are various mathematical models in which the mappings are contractive on the subset of...

In this paper the concept of fuzzy characteristic interior ideals in partially ordered Γ-semigroups(Po-Γ-semigroups) has been introduced. It is observed that it satisfies level subset criterion and characteristic function criterion. Mathematics Subject Classification: 08A72, 3F55, 20M12