in this note we first redefine the notion of a fuzzy hypervectorspace (see [1]) and then introduce some further concepts of fuzzy hypervectorspaces, such as fuzzy convex and balance fuzzy subsets in fuzzy hypervectorspaces over valued fields. finally, we briefly discuss on the convex (balanced)hull of a given fuzzy set of a hypervector space.

We introduce a new class of sets namely \((1, 2)^\star\)-\(\check{g}_\alpha\)-closed sets, 2)^\star\)-\(\Lambda_{\mathcal{G}}\)-set, 2)^\star\)-\(\lambda_{\mathcal{G}}\)-set and 2)^\star\)-\(\check{g}_\alpha\)-Locally closed are study in bitopological spaces. prove that this classes lies between 2)^\star\)-\(\alpha\)-closed 2)^\star\)-\(\alpha g\)-closed sets. Furthermore, we discuss some essen...

Given a nonempty set X, a fuzzy ideal I on X is a collection of subsets of X closed under finite union and subset operations. In this paper we define a space to be locally I fuzzy compact space if every point in the space has an I fuzzy compact neighbourhood. Basic results concerning locally I fuzzy compact spaces are given relating to subspaces, preservation of functions, and products. Classic...

K. T. Atanassov, ?Intuitionistic fuzzy sets?, Fuzzy Sets and Systems, 20(1986), 87-96. S. S. Benchalli and Jenifer J. Karnel, ?On fuzzy b open sets in fuzzy topological spaces?, J. Comp. & Math. Sci, 1(2010), 127 – 134. C. L. Chang, ?Fuzzy topological spaces?, J. Math. Anal. Appl, 24(1968), 182-190. D. Coker, ?An introduction to intuitionistic fuzzy topological spaces?, Fuzzy Sets and Systems, ...

Varius concepts related to the category of fuzzy closure spaces have been introduced, and relations among them are studied by several authors [4-8]. in this paper, we introduce the weak fuzzy closure operators which need not preserve unions, showing that many concepts and properties of the category of closure spaces (FCS) can be proved under such weakened conditions. Initial structures of weak ...

In this paper, we introduce a stationary M∞-fuzzy metric on the set C B(X), where M∞-fuzzy metric can be thought of as the degree of nearness between two fuzzy sets with respect to any positive real number and C B(X) is the class of fuzzy sets with nonempty bounded closed α-cut sets. Under the φ-contraction conditions, we give some common fixed point theorems for self-mappings in the space C B(X).

The description of the error dynamics (30) in our paper [1] contains an omission that leads to some bounds used in the conditions of Theorem 8 and Corollary 2 in the paper to be incorrectly defined. In what follows, the correct error dynamics and the corresponding conditions are given. Instead of (30) in [1], the error dynamics are actually given by ė = m ∑ i=1 wi(z)[(Ai − LiC +MiAδi)e +Mi(Āδix̂...