SOME OPERATIONS ON BIPOLAR INTUITIONISTIC FUZZY IDEAL AND BIPOLAR INTUITIONISTIC ANTI FUZZY IDEAL OF A BP-ALGEBRA

Authors

  • S. Sivakaminathan (Ramanujan Research Centre, PG and Research Department of Mathematics, Government Arts College (Autonomous), Kumbakonam – 612002, Tamil Nadu, INDIA)
  • K. Gunasekaran (Government Arts and Science College, Kuttalam - 609808, Tamil Nadu, INDIA)
  • S. Nandakumar (Government Arts College, Ariyalur - 621713, Tamil Nadu, INDIA)

Keywords:

BP-algebra, fuzzy ideal, bipolar fuzzy ideal, bipolar intuitionistic fuzzy ideal, bipolar intuitionistic anti fuzzy ideal, necessity and possibility operator.

Abstract

The concept of a bipolar intuitionistic fuzzy ideal and bipolar intuitionistic anti fuzzy ideal are a new algebraic structure of BP-algebra and to use necessity and possibility operator. The purpose of this study is to implement the fuzzy set theory and ideal theory of a BP-algebra. The relation between the operation on bipolar intuitionistic fuzzy ideal and bipolar intuitionistic anti fuzzy ideal are established. 

 

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Published

2023-06-21

Issue

Vol. 18 No. 02 (2022): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Articles