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- Pradip Debnath
- Computers & Mathematics with Applications
- 2012

- Mausumi Sen, Pradip Debnath
- Mathematical and Computer Modelling
- 2011

- Pradip Debnath, Mausumi Sen
- Journal of Intelligent and Fuzzy Systems
- 2014

- Pradip Debnath
- Journal of Intelligent and Fuzzy Systems
- 2015

- Pradip Debnath, Mausumi Sen
- Journal of Intelligent and Fuzzy Systems
- 2014

In this paper we introduce the notion of weak and strong intuitionistic fuzzy (Schauder) basis on an intuitionistic fuzzy n-normed linear space [5] and prove that an intuitionistic fuzzy n-normed linear space having a weak intuitionistic fuzzy basis is separable. Also we discuss approximation property on the same space. Mathematics Subject Classification:… (More)

- Murchana Neog, Pradip Debnath
- 2017

In the present article, we introduce the new concept of start point in a directed graph and provide the characterizations required for a directed graph to have a start point. We also define the notion of a self path set valued map and establish its relation with start point in the setting of a metric space endowed with a directed graph. Further, some fixed… (More)

- Pradip Debnath, Binayak S. Choudhury, Murchana Neog
- 2017

In this article, we define the new concept of a fixed set for a set valued map with set valued domain in the setting of metric space endowed with a directed graph. This notion of fixed set is analogous to the notion of a fixed point for a multivalued map and not for a classical single-valued map. We also introduce the new concept of the start set of a graph… (More)

- Pradip Debnath
- ArXiv
- 2013

In this article we give a new definition of direct product of two arbitrary fuzzy graphs. We define the concepts of domination and total domination in this new product graph. We obtain an upper bound for the total domination number of the product fuzzy graph. Further we define the concept of total α-domination number and derive a lower bound for the total… (More)

The notion of lacunary ideal convergence in intuitionistic fuzzy normed linear space (IFNLS) was introduced by the present corresponding author [P. Debnath, Lacunary ideal convergence in intuitionistic fuzzy normed linear spaces, Comput. Math. Appl., 63 (2012), 708-715] and an open problem in that paper was whether every lacunary I-convergent sequence is… (More)