Title

ON INTUITIONISTIC L-FUZZY IDEALS OF BP-ALGEBRAS

Authors

Y. Christopher Jefferson, M. Chandramouleeswaran
Department of Mathematics
Spicer Adventist University
Pune, 411 007, Maharashtra, INDIA
Department of Mathematics
S.B.K. College
Aruppukottai, 626101, Tamilnadu, INDIA

Abstract

In papers [2,3,4,5,6] we studied the notion of fuzzy structures, fuzzy subalgebras, fuzzy ideals and L-fuzzy subalgebras and T-ideals of BP-Algebras.

Motivated by the works of several researchers on Intuitionistic fuzzy structures on Algebras such as BCI, BCK, BG and BF algebras, in this paper we introduce the notion of Intuitionistic L-fuzzy ideals in BP-algebras.

History

Received: December 22, 2016
Revised: January 22, 2017
Published: March 30, 2017

AMS Classification, Key Words

AMS Subject Classification: 03E72, 06F35, 03G25
Key Words and Phrases: BP-algebras, intuitionistic l-fuzzy BP algebras, intuitionistic L-fuzzy BP ideals

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Bibliography

1

Atanassov, K.T.: Intuitionistic Fuzzy Sets: Theory and Applications, Studies in fuzziness and soft computing, vol. 35. Physica-Verlag, Heidelberg (1999)

2

Christopher Jefferson Y. and Chandramouleeswaran, Fuzzy Algebraic Structure in BP-Algebra, Mathematical Sciences International Research Journal Vol.4(2)(2015), 336-340

3

Christopher Jefferson Y. and Chandramouleeswaran, Fuzzy BP-ideal, Global Journal of Pure and Applied Mathematics. Volume 12. Number 4(2016), pp. 3083-3091.

4

Christopher Jefferson Y. and Chandramouleeswaran, L-Fuzzy BP-Algebras, IRA-International Journal of Applied Sciences, Vol.04, Issue 01 (2016) DOI: http://dx.doi.org/10.21013/jas.v4.n1.p8

5

Christopher Jefferson Y. and Chandramouleeswaran, L-Fuzzy BP-Ideal, International J.of Math.Sci. and Engg. Appls. (IJMSEA), Vol.10 No. I(April, 2016), pp.233-242.

6

Christopher Jefferson Y. and Chandramouleeswaran, Fuzzy T -Ideals in BP-Algebras, International Journal of Contemporary Mathematical Sciences, Vol. 11, 2016, no. 9, 425 - 436, http://doi.org/10.12988/ijcms.2016.6845

7

Goguen J.A., L-Fuzzy Sets, Journal of Mathematical Analysis and Application 18 (1967), 145-174

8

Imai, Y.; Iseki, K. On axiom systems of propositional calculi XIV. ,Proceedings of the Japan Academy, v. 42, (1966), 19-22.

How to Cite?

DOI: 10.12732/ijpam.v112i5.13 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 112
Issue: 5
Pages: 113 - 122

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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