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 -near-ring in R and T-anti-fuzzy ideal of a
-near-ring in R. we made an attempt to study the properties of T-anti-fuzzy ideal of a
-near-ring, union of T-anti-fuzzy ideals of
-near-ring, join of T-anti-fuzzy ideal of a
-near-ring in R, join of a family of T-anti-fuzzy ideal of a
-near-ring in R and family of union of T-anti-fuzzy ideal of
-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.