activity
20172026
most citedPrimal Topological Spaces

9 citations · 40 across the 20 of their papers we have counts for

collaborators

21 papers

math.GM2026

Roughness and entropy measures of a soft set

Santanu Acharjee, Sankar K. Pal

Soft set theory is an important and emerging area within soft computing, owing to its attribute-oriented mathematical framework and its wide applicability in diverse domains, inclu…

math.GM2025

Information retrieval in big data using cognitive approaches

Santanu Acharjee, Ripunjoy Choudhury

Due to the exponential growth of big data in this digital era, an advanced method for effective information retrieval becomes essential. The basic objective of this paper is to pro…

math.DS2025

Orbitwise expansive maps

Debasish Bhattacharjee, Humayan Kobir, Santanu Acharjee

This study defines an orbitwise expansive point (OE) as a point, such as in a metric space , if there is a number such that the orbits of a few points inside an ar…

math.GM2024

Logical connectives of fuzzy soft set theory

Santanu Acharjee, Sidhartha Medhi

Soft set theory, introduced by Molodtsov [Molodtsov, D. (1999). Soft set theory-first results. Comput. Math. Appl., 37(4-5), 19-31], provides a flexible framework for managing unce…

cs.IR2024

Big data searching using words

Santanu Acharjee, Ripunjoy Choudhury

Big data analytics is one of the most promising areas of new research and development in computer science, enterprises, e-commerce, and defense. For many organizations, big data is…

math.GM2024★ 1 cited

The correct structures in fuzzy soft set theory

Santanu Acharjee, Sidhartha Medhi

In 1999, Molodtsov \cite{1} developed the idea of soft set theory, proving it to be a flexible mathematical tool for dealing with uncertainty. Several researchers have extended the…

math.GM2023★ 2 cited

The limit of human intelligence

Santanu Acharjee, Upashana Gogoi

In 1998, Fields medalist Stephen Smale [S. Smale, Mathematical problems for the next century, The mathematical Intelligencer, 20(2) (1998), 7-15] proposed his famous eighteen probl…

q-bio.PE2023

Two predators one prey model that integrates the effect of supplementary food resources due to one predator's kleptoparasitism under the possibility of retribution by the other predator

Debasish Bhattacharjee, Dipam Das, Santanu Acharjee +1

In ecology, foraging requires animals to expend energy in order to obtain resources. The cost of foraging can be reduced through kleptoparasitism, the theft of a resource that anot…

math.GN2023★ 9 cited

Primal-Proximity Spaces

Ahmad Al-Omari, Murad Ozcog, Santanu Acharjee

The main purpose of this paper is to introduce and study the primal-proximity spaces. Also, we define two new operators via primal proximity spaces and investigate some of their fu…

math.DS2023

Predator-prey dynamics pertaining to structuralizing predator species into three stages coupled with maturation delay owing to juvenile hunting

Debasish Bhattacharjee, Tapasvini Roy, Santanu Acharjee +1

The predator-prey dynamic appertaining to two species is explored, wherein the predator species is structured into different stages. As evidenced from natural documentation, the im…

math.DS2022

Homotopical selection principles in bitopological dynamical systems

Santanu Acharjee, Kabindra Goswami, Hemanta Kumar Sarmah

Homotopy deals with the intuitive idea of continuous deformation of a continuous map between two topological spaces. In this paper, we introduce homotopical selection principles in…

math.GN2022★ 5 cited

A New Operator of Primal Topological Spaces

Ahmad Al-Omari, Santanu Acharjee, Murad Özkoç

Recently, Acharjee et al. [S. Acharjee, M. Özkoç and F. Y. Issaka, Primal topological spaces, arXiv:2209.12676[math.GM]] introduced a new structure in topology named primal. Primal…

math.GM2022★ 9 cited

Primal Topological Spaces

Santanu Acharjee, Murad Özkoç, Faical Yacine Issaka

The purpose of this paper is to introduce a new structure `primal'. Primal is dual to grill. Like ideal, dual of filter, this new structure also generates a new topology named `pri…

q-bio.TO2022

Theoretical possibilities of head transplant

Santanu Acharjee

Recently, Zielinski and Sokal [ Zielinski, P., Sokal, P. (2016). Full spinal cord regeneration after total transection is not possible due to entropy change. Medical Hypotheses, 94…

math.GM2022

On correct structures and similarity measures of soft sets along with historic comments of Prof. D. A. Molodtsov

Santanu Acharjee, Amlanjyoti Oza

After the paper of Molodtsov ( D. Molodtsov, Soft set theory first results. Computers and Mathematics with Applications, 37(4-5) (1999), 19-31), soft set theory grew at a breakneck…

math.GM2022★ 1 cited

MADM Approach For Fermatean Neutrosophic Normal Aggregation Operator

M. Palanikumar, K. Arulmozhi, Santanu Acharjee

We present a communication which deals with some new methods to solve multiple attribute decision-making (MADM) problems based on Fermatean neutrosophic normal number (FNNN). Ferma…

math.GT2022

Fiibrations property of embedding maps of orbifold charts

Hakeem A. Othman, Santanu Acharjee

In this paper we introduce the notion of Hurewicz fibrations in the class of embedding maps of orbifold charts by giving the concept of E-fibration embedding. We study the fundamen…

math.GN2022

Erratum to " Almost Menger property in bitopological spaces"

Santanu Acharjee, Kabindra Goswami

In this paper, theorem 3.2 and theorem 4.1 of Özçağ and Eysen [S. Özçağ and A.E. Eysen, Almost Menger property in bitopological spaces, Ukrainian Math. J., {\bf 68}, No 6, 950-958…

q-bio.PE2022★ 8 cited

Stage structured prey-predator model incorporating mortal peril consequential to inefficiency and habitat complexity in juvenile hunting

Debasish Bhattacharjee, Tapasvini Roy, Santanu Acharjee +1

Dynamic exploration for a predator-prey bio-system of two species with ratio-dependent functional response is carried out, where the capability to predate in both the stages of the…

cs.SI2022

Trust levels in social networks

Santanu Acharjee, Akhil Thomas Panicker

In this paper, we study trust levels in social networks from the perspective of Dunbar's number.

math-ph2017★ 5 cited

The Order on the Light Cone and its induced Topology

Kyriakos Papadopoulos, Santanu Acharjee, Basil K. Papadopoulos

In this article we first correct a recent misconception about a topology that was suggested by Zeeman as a possible alternative to his Fine topology. This misconception appeared wh…