Interval-Valued Neutrosophic Subgroup Based on Interval-Valued Triple T-Norm

Author:

Gayen Sudipta1ORCID,Smarandache Florentin2ORCID,Jha Sripati1,Kumar Ranjan3

Affiliation:

1. National Institute of Technology, Jamshedpur, India

2. Department of Mathematics, University of New Mexico, USA

3. Jain University, Jayanagar, Bengaluru, India

Abstract

Presently, interval-valued neutrosophic set theory has become an important research topic. It is widely used in various pure as well as applied fields. This chapter will provide some essential scopes to study interval-valued neutrosophic subgroup. Here the notion of interval-valued triple T-norm has been introduced, and based on that, interval-valued neutrosophic subgroup has been defined. Furthermore, some homomorphic characteristics of this notion have been studied. Additionally, based on interval-valued triple T-norm, interval-valued neutrosophic normal subgroup has been introduced and some of its homomorphic characteristics have been analyzed.

Publisher

IGI Global

Reference83 articles.

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