G_(α,β) Antagonistic Intuitionistic Fuzzy Sub Commutative Ideals of Subtraction G-Algebra

Authors

  • B Lena Department of Mathematics, Trinity College for Women, Namakkal, Tamil Nadu, India
  • C Ragavan Department of Mathematics, SVM College, Uthangarai, Krishnagiri, Tamil Nadu, India.

DOI:

https://doi.org/10.23755/rm.v44i0.913

Keywords:

Subtraction G-algebra, AIFSI ideals, AIFSC ideals

Abstract

The notions of  over antagonistic intuitionistic fuzzy sub commutative ideals of subtraction G-algebras are introduced. The characterization properties of antagonistic intuitionistic fuzzy sub commutative ideals are obtained. We investigate the relations between antagonistic intuitionistic fuzzy sub implicative ideals and antagonistic intuitionistic fuzzy sub commutative ideals of subtraction G-algebra.

References

Atanassov K. Intuitionistic fuzzy sets VII ITKR’s Session, Sofia, June 1983(Deposed in Central Sci, - Techn. Library of Bulg. Acad. Of Sci., 1697/84) (in Bulg.).

Atanassov K. Intuitionistic fuzzy relations. Third Int. Symp.” Automation and Sci. Instrumentation”, Varna, Oct. 1984, Proc. Part II, 56 - 57.

Atanassov K. Intuitionistic fuzzy sets, Fuzzy sets and Systems, Vol. 20 (1986), No. 1, 87-96.

Atanassov K. Identified operator on intuitionistic fuzzy sets. Fifth City Conf.” Electronics & Cybernetics”, Sofia, June 1987, Proc. 329 – 332.

Atanassov K. Review and results on intuitionistic fuzzy sets. Preprint IM-MFAIS-1-88, Sofia, 1988.

Atanassov K. Four new operators on intuitionistic fuzzy sets. Preprint IM-MFAIS-4-89, Sofia, 1989.

Atanassov K. New operations defined over the intuitionistic fuzzy sets, Fuzzy sets and systems, Vol. 61 (1994), No. 2, 137-142.

R.K. Bandaru, N. Rafi, On G-algebras, Scientia Magna 8 (2012) 1-7.

K. Iseki, On BCI-algebras, Math. Sem. Notes Kobe Univ. 8 (1980), no. 1, 125– 130.

K. Iseki and S. Tanaka, An introduction to the theory of BCK-algebras, Math.Japon.23 (1978/79), no. 1, 1–26.

Y. B. Jun and E. H. Roh, Fuzzy commutative ideals of BCK-algebras, Fuzzy Sets and Systems 64 (1994), no. 3, 401–405.

Y. L. Liu and J. Meng, Sub-implicative ideals and sub-commutative ideals of BCI-algebras, Soochow J. Math. 26 (2000), no. 4, 441–453.

T. Senapati, C. Jana, M. Pal, on fuzzy G-subalgebras of G-algebras, Communicated.

L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338–353.

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Published

2022-12-11

Issue

Vol. 44 (2022): Special Issue: Recent Trends in Mathematics and its Applications

Section

Volume 45-2023

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