Lacunary ideal convergence in intuitionistic fuzzy normed linear spaces

Results on lacunary difference ideal convergence in intuitionistic fuzzy normed linear spaces

“…If n = 0 in n x k , then LDIC reduces to lacunary ideal convergence (LIC) defined in [4]. Thus LDIC is a non trivial generalisation of LIC.…”

“…Some new results are also introduced in this connection. In this article we give a solution to the future work mentioned in [4].Since an IFNLS is more general than a fuzzy normed linear space (FNLS), the results discussed in this paper are also valid for a FNLS.Throughout the paper N will denote the set of all natural numbers. First we collect some preliminary existing definitions in literature.…”

“…Some new results are also introduced in this connection. In this article we give a solution to the future work mentioned in [4].…”

Lacunary ideal convergence of multiple sequences in probabilistic normed spaces

“…The notion of lacunary ideal convergence of real sequences was introduced in ( [9,56]) and Hazarika ([24,25]), was introduced the lacunary ideal convergent sequences of fuzzy real numbers and studied some properties. Debnath [13] introduced the notion lacunary ideal convergence in intuitionistic fuzzy normed linear spaces. Recently, Yamanci and Gürdal [59] introduced the notion lacunary ideal convergence in random n-normed space.…”

Some results of calculus for functions having values in an intuitionistic fuzzy n-normed linear space

“…B. Jun in [21]. Some more recent work in similar context can be found in [6,7]. In the present article, our primary aim is to study the topological structure of an IFnNLS by imposing some additional conditions on the continuous t-norm and continuous t-conorm of the space.…”