In this paper, we introduce the concepts of intuitionistic fuzzy πgα closed mappings and intuitionistic fuzzy i-πgα closed mappings. Further, we study some of their properties. MSC: 54A40, 03F55.

A new class of functions, called Intuitionistic fuzzy π-generalized π-closed set is introduced. Basic properties of Intuitionistic fuzzy π-generalized π-closed set are studied. MSC: 68T27 • 68T37

Knowing the excluded minors for a minor-closed matroid property provides a useful alternative characterization of that property. It has been shown in [R. Hall, J. Oxley, C. Semple, G. Whittle, On Matroids of Branch-Width Three, submitted 2001] that if M is an excluded minor for matroids of branch-width 3, then M has at most 14 elements. We show that there are exactly 10 such binary matroids M (...

For a presentation A of a transversal matroid M , we study the ordered set TA of single-element transversal extensions of M that have presentations that extend A; extensions are ordered by the weak order. We show that TA is a distributive lattice, and that each finite distributive lattice is isomorphic to TA for some presentation A of some transversal matroid M . We show that TA ∩ TB, for any t...

In this paper, a new class of fuzzy sets called fuzzy strongly g∗-closed sets is introduced and its properties are investigated. Moreover, we study some more properties of this type of closed spaces.

In the present paper, we study some properties of fuzzy norm of linear operators. At first the bounded inverse theorem on fuzzy normed linear spaces is investigated. Then, we prove Hahn Banach theorem, uniform boundedness theorem and closed graph theorem on fuzzy normed linear spaces. Finally the set of all compact operators on these spaces is studied.

A jump system is a set of integer points with an exchange property, which is a generalization of a matroid, a delta-matroid, and a base polyhedron of an integral polymatroid (or a submodular system). Recently, the concept of M-convex functions on constant-parity jump systems is introduced by Murota as a class of discrete convex functions that admit a local criterion for global minimality. M-con...