S. Nanda

On sequences of fuzzy numbers

Abstract In this note the spaces of convergent and bounded sequences of fuzzy numbers have been discussed.

Fuzziness in rough sets

A measure of fuzziness in rough sets is introduced and some characterizations of this measure are made with examples.

On integration of fuzzy mappings

Abstract In this paper we introduce the concept of an integral of a fuzzy mapping. This generalises the integral introduced by Matloka [10] and also extends Riemann-Stieltjes integral over a closed interval to fuzzy mappings.

Convex fuzzy mappings

Abstract In this note the concept of convexity and logarithmic convexity for fuzzy mappings are introduced and some applications to optimization are discussed.

On fuzzy topological spaces

Abstract In this note the concept of almost fuzzy continuous mapping from a fuzzy topological space into another is introduced and discussed.

Convex fuzzy mapping with differentiability and its application in fuzzy optimization

Abstract The concepts of differentiability, convexity, generalized convexity and minimization of a fuzzy mapping are known in the literature. The purpose of this present paper is to extend and generalize these concepts to fuzzy mappings of several variables using Buckley–Feuring approach for fuzzy differentiation and derive Karush–Kuhn–Tucker condition for the constrained fuzzy minimization problem.

Pseudo-invexity and duality in nonlinear programming

Abstract The purpose of this paper is to study various duality results in nonlinear programming for pseudo-invex functions. Such results were known in the literature for invex functions.

Strongly compact fuzzy topological spaces

Abstract The purpose of this paper is to introduce and discuss the concept of strong compactness for fuzzy topological spaces.

Symmetric duality with pseudo-invexity in variational problems

Abstract Weak and strong duality results are established under pseudo-invexity hypotheses for symmetric dual variational problems. Self-dual problems and static symmetric dual programs are included as special cases.

Fuzzy linear spaces over valued fields

Abstract The concept of fuzzy linear spaces was introduced by Nanda [3]. The purpose of the present paper is to introduce some further concepts, such as convex fuzzy sets etc., in fuzzy linear spaces over any valued field.