Properties of T–Anti-Fuzzy Ideals of a 1–Near-Ring

G. Chandrasekaran *

Department of Mathematics, Sethupathi Govt Arts College, Ramanathapuram – 623 502, Tamilnadu, India.

B. Chellappa

Nachiappa Suvamical Arts and Science College, Karaikudi – 630 003, Tamilnadu, India.

M. Jeyakumar

Department of Mathematics, Alagappa University Evening College, Rameswaram – 623 526, Tamilnadu, India.

*Author to whom correspondence should be addressed.


Abstract

In this paper, we define Anti-fuzzy ideal of a Capture16.JPG -near-ring in R and T-anti-fuzzy ideal of a  Capture17.JPG -near-ring in R. we made an attempt to study the properties of T-anti-fuzzy ideal of a Capture18.JPG -near-ring, union of T-anti-fuzzy ideals of Capture19.JPG -near-ring, join of T-anti-fuzzy ideal of a Capture110.JPG -near-ring in R, join of a family of T-anti-fuzzy ideal of a  Capture111.JPG -near-ring in R and family of union of T-anti-fuzzy ideal of  Capture112.JPG -near-ring in R.

Keywords: Fuzzy subset, near-ring, ideal, -ring,-near-ring, T-fuzzy ideal, anti-fuzzy ideal, anti-fuzzy ideal of -near-ring, T-anti-fuzzy ideal, join of T-anti-fuzzy ideal.


How to Cite

Chandrasekaran, G., B. Chellappa, and M. Jeyakumar. 2017. “Properties of T–Anti-Fuzzy Ideals of a 1–Near-Ring”. Journal of Advances in Mathematics and Computer Science 25 (2):1-14. https://doi.org/10.9734/JAMCS/2017/37091.

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