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

S. Sivakaminathan; K. Gunasekaran; S. Nandakumar

doi:10.56827/SEAJMMS.2022.1802.35

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

DOI: https://doi.org/10.56827/SEAJMMS.2022.1802.35

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.