arXiv subjects
Publications and source records attributed to S. K. Samanta.
In this paper Lowen type multi-fuzzy topological space has been introduced and characterization of topology by its nbd system is studied. Also the product multi-fuzzy topological space has been introduced and it has been investigated that 2nd countability and compactness are finitely productive in multi-fuzzy topological spaces.
In the present paper, a notion of M-basis and multi dimension of a multi vector space is introduced and some of its properties are studied.
In this paper we give a new definition of soft topology using elementary union and elementary intersection although these operations are not distributive. Also we have shown that this soft topology is different from Naz's soft topology and studied some basic properties of this new type of soft topology. Here we use elementary complement of soft sets, though law of excluded middle is not valid in general for this type of complementation.
The concept of Type-2 soft sets had been proposed as a generalization of Molodstov's soft sets. In this paper some shortcomings of some existing distance measures for Type-1 soft sets have been shown and accordingly some new distance measures have been proposed. The axiomatic definitions for distance, entropy and similarity measures for Type-2 soft sets have been introduced and a couple of such measures have been defined. Also the applicability of one of the proposed similarity measures have been demonstrated by showing its utility as an effective tool in a decision making problem.
In this note the authors have raised the question regarding the validity of the main result in [1] by setting an example.
In this paper an idea of soft linear spaces and soft norm on soft linear spaces are given and some of their properties are studied. Soft vectors in soft linear spaces are introduced and their properties are studied. Completeness of soft normed linear space is also studied and equivalent soft norms and convex soft sets are studied in soft normed linear space settings.
This paper deals with an extension of a recent result by the authors generalizing Kannan's fixed point theorem based on a theorem of Vittorino Pata. The generalization takes place via a cyclical condition.
We prove a generalization of Kannan's fixed point theorem, based on a recent result of Vittorino Pata.