In [3], we started the investigation of compactness in fuzzy function spaces in FCS, the category of fuzzy convergence spaces as defined by Lowen/Lowen/Wuyts [8]. This paper goes somewhat deeper in the investigation of fuzzy function spaces using the notion of splitting and conjoining structures on fuzzy subsets. We discuss the connection to the exponential law and give several examples of such...

In semisupervised fuzzy clustering, this article extends the traditional pairwise constraint (i.e., must-link or cannot-link) to constraint. The allows a supervisor provide grade of similarity dissimilarity between implicit vectors pair samples. This can represent more complicated relationship samples and avoid eliminating characteristics. Then, we propose clustering with constraints (SSFPC). n...

In this paper, the concept of pairwise fuzzy globally disconnected spaces is introduced and studied. The condition under which pairwise fuzzy globally disconnected spaces become pairwise fuzzy -Baire spaces, is established. Several characterizations of pairwise fuzzy globally disconnected spaces, are obtained.

In this paper we consider new weak and strong forms of γ-irresoluteness and γ-closure via the concept of gγ-closed sets which we call ap-γ-irresolute, ap-γ-closed and contra-γ-irresolute maps. Moreover, we use ap-γ-irresolute and ap-γ-closed maps to obtain a characterization of γ − T 1 2 -spaces.

in a fuzzy metric space (x;m; *), where * is a continuous t-norm,a locally fuzzy contraction mapping is de ned. it is proved that any locally fuzzy contraction mapping is a global fuzzy contractive. also, if f satis es the locally fuzzy contractivity condition then it satis es the global fuzzy contrac-tivity condition.

martindale proved that under some conditions every multiplicative isomorphism between two rings is additive. in this paper, we extend this theorem to a larger class of mappings and conclude that every multiplicative $(alpha, beta)-$derivation is additive.