we provide fuzzy quasi-metric versions of a fixed point theorem ofgregori and sapena for fuzzy contractive mappings in g-complete fuzzy metricspaces and apply the results to obtain fixed points for contractive mappingsin the domain of words.

In this paper, 2−bondage set of a fuzzy graph G is defined. The 2−bondage number, b2(G) is the minimum cardinality among all 2−bondage sets of G. The condition for a 2−bondage set of a fuzzy graph to be a bondage set is also given. The exact values of b2(G) is determined for several classes of fuzzy graphs.

In this paper, the cobondage set and cobondage number bC(G) of a fuzzy graph G are defined. The upper bound of a fuzzy graph with p nodes is given as min(p − (1 + S(G)), S(G) + 1). The exact values of bC(G) for some standard fuzzy graphs are found. Some results on bC(G) are also discussed. A numerical example is also illustrated. AMS subject classification: 03E72, 05C40, 05C72.

The main aim of this work is to introduce and study the notions generalized regularity, normality, symmetric in fuzzy soft topological spaces via closed sets. Investigating some their basic properties. Many related theorems relations these are presented. Moreover, hereditary property preservation discussed.

The concept of (∈,∈∨ q)-fuzzy h-ideals of hemirings is introduced and some characterizations are described. We show that a hemiring S is hhemiregular if and only if for any (∈,∈∨ q)-fuzzy right h-ideal F and (∈,∈∨ q)fuzzy left h-ideal G, F ◦0.5 G = F ∩0.5 G. Finally, the concept of implicationbased fuzzy h-ideals of hemirings is considered. 2010 Mathematics Subject Classification: 16Y60, 13E05,...

In this paper the idea of strong sum distance which is a metric, in a fuzzy graph is introduced. Based on this metric the concepts of eccentricity, radius, diameter, center and self centered fuzzy graphs are studied. Some properties of eccentric nodes, peripheral nodes and central nodes are obtained. A characterisation of self centered complete fuzzy graph is obtained and conditions under which...

A subset S of V is called a dominating set in G if every vertex in V-S is adjacent to at least one vertex in S. A Dominating set is said to be Fuzzy Double Dominating set if every vertex in V-S is adjacent to at least two vertices in S. The minimum cardinality taken over all, the minimal double dominating set is called Fuzzy Double Domination Number and is denoted by γ fdd (G). The minimum numb...

In this study we apply the knowledge of fuzzy sets to group structures and also to decision-making implications. We study fuzzy subgroups of finite abelian groups. We set G = Zpn + Zqm . The classification of fuzzy subgroups of G using equivalence classes is introduced. First, we present equivalence relations on fuzzy subsets of X, and then extend it to the study of equivalence relations of fuz...