Some New Type of Fuzzy I - Convergent Double Difference Sequence Spaces Santanu

Abstract

Since the introduction of fuzzy set theory by Zadeh [30] in 1965, fuzzy logic has become an important area of research in various branches of Mathematics such as Metric and Topological spaces [4], Theory of functions [29], Approximation theory [1] etc. Fuzzy set theory also finds its applications for modeling, uncertainty and vagueness in various fields of Science and Engineering, e.g. Computer Programming [9], Nonlinear Dynamical Systems [11], Population Dynamics [2], Control of Chaos [8], Quantum Physics [16] etc. It attracted workers on sequence spaces to introduce different type of classes of sequences of fuzzy numbers. The initial works on double sequences is found in Bromwich [3]. The notion of regular convergence of double sequences of real or complex terms is introduced by Hardy [10]. Tripathy and Dutta [26] introduced and investigated different types of fuzzy real valued double sequence spaces. Generalizing the concept of ordinary convergence for real sequences, Kostyrko, Šalát .and Wilczyński [15] introduced the concept of ideal convergence which is a generalization of statistical convergence, by using the ideal I of the subsets of the set of natural numbers. Some works on this field can be found in [22, 23, 24, 25] .

Cite this paper

@inproceedings{Roy2012SomeNT, title={Some New Type of Fuzzy I - Convergent Double Difference Sequence Spaces Santanu}, author={M Roy}, year={2012} }