ROUGH PRIME IDEALS AND ROUGH FUZZY PRIME IDEALS IN GAMMA-SEMIGROUPS

Title & Authors
ROUGH PRIME IDEALS AND ROUGH FUZZY PRIME IDEALS IN GAMMA-SEMIGROUPS
Chinram, Ronnason;

Abstract
The notion of rough sets was introduced by Z. Pawlak in the year 1982. The notion of a $\small{\Gamma}$-semigroup was introduced by M. K. Sen in the year 1981. In 2003, Y. B. Jun studied the roughness of sub$\small{\Gamma}$-semigroups, ideals and bi-ideals in i-semigroups. In this paper, we study rough prime ideals and rough fuzzy prime ideals in $\small{\Gamma}$-semigroups.
Keywords
congruences;$\small{{\Gamma}}$-semigroups;quotient $\small{{\Gamma}}$-semigroups;prime ideals;$\small{\theta}$-lower rough prime ideals;$\small{\theta}$-upper rough prime ideals;
Language
English
Cited by
1.
Applications of rough sets to Γ-hyperideals in left almost Γ-semihypergroups, Neural Computing and Applications, 2012, 21, S1, 267
2.
Rough Fuzzy Hyperideals in Ternary Semihypergroups, Advances in Fuzzy Systems, 2012, 2012, 1
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