Intuitionistic fuzzy translation of anti-intuitionistic fuzzy $T$-idelas of subtraction $BCK/BCI$-algebras

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Authors :

S.Senthilkumar 1 , Eswari Prem 2* and C.Ragavan 3

Author Address :

2 Department of Mathematics, Govt Arts College [Men], Krishnagiri – 635001, Tamil Nadu, India.
1,3 Department of Mathematics, Sri Vidya Mandir Arts & Science College, Uthangarai - 635207, Krishnagiri, Tamilnadu, India.

*Corresponmding author.

Abstract :

In this paper, the conception of intuitionistic fuzzy translation to anti-intuitionistic fuzzy $T$-ideals in Subtraction $BCK/BCI$-algebras is introduced. The ideas of anti-intuitionistic fuzzy extensions andanti-intuitionistic fuzzy multiplications of anti-intuitionistic fuzzy $T$-ideals with several related propertiesare investigated. Also the relationships between intuitionistic fuzzy translations, intuitionisticfuzzy extensions and intuitionistic fuzzymultiplications of anti-intuitionistic fuzzy $T$-ideals are investigated.

Keywords :

Subtraction BCK/BCI – algebra, anti-intuitionistic fuzzy ideal, anti-intuitionistic fuzzy $T$-ideal, anti-intuitionistic fuzzy translation, anti-intuitionistic fuzzy extension, anti-intuition

DOI :

10.26637/MJM0603/0034

Article Info :

Received : March 11, 2018; Accepted : September 18, 2018.