Anti Fuzzy HX Ring and Its Level Sub HX Ring

R. Muthuraj; N.Ramila Gandhi

doi:https://doi.org/10.14445/22315373/IJMTT-V31P518

International Journal of Mathematics Trends and Technology

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Volume 31 | Number 2 | Year 2016 | Article Id. IJMTT-V31P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V31P518

Anti Fuzzy HX Ring and Its Level Sub HX Ring

R. Muthuraj, N.Ramila Gandhi

Abstract

In this paper, we define the concept of an anti fuzzy HX ring and define a new algebraic structure of an anti fuzzy sub HX ring of a HX ring. Also we define level sub HX ring of a HX ring and some related properties are investigated. The purpose of this study is to implement the fuzzy set theory and ring theory in anti fuzzy sub HX ring of a HX ring. Characterizations of level subsets of an anti fuzzy sub HX ring of a HX ring are given. We also discussed the relation between a given anti fuzzy sub HX ring of a HX ring and its level sub HX rings and investigate the conditions under which a given HX ring has a properly inclusive chain of sub HX rings. In particular, we formulate how to structure an anti fuzzy sub HX ring of a HX ring by a given chain of sub HX rings.

Keywords

HX ring, anti fuzzy HX ring, level subset, level sub HX ring.

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Citation :

R. Muthuraj, N.Ramila Gandhi, "Anti Fuzzy HX Ring and Its Level Sub HX Ring," International Journal of Mathematics Trends and Technology (IJMTT), vol. 31, no. 2, pp. 95-100, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V31P518