Fuzzy soft ideals of near-subraction semigroups

Journal of Linear and Topological Algebra

مقاله 3، دوره 05، شماره 03، آذر 2016، صفحه 175-186   

نوع مقاله: Research Paper

نویسندگان

V. Chinnadurai^* ؛ S. Kadalarasi

Department of Mathematics, Annamalai University, Annamalainagar, PO. Code 608002, Tamilnadu, India

چکیده

Our aim in this paper is to introduce the notion of fuzzy soft near-subtraction semigroups and fuzzy soft ideals of near-subtraction semigroups. We discuss some important properties of these new fuzzy algebraic structure and investigate some examples and counter examples.

کلیدواژه‌ها

Near-subtraction semigroup, fuzzy soft set, fuzzy soft near-subtraction؛ semigroup, fuzzy soft ideal

مراجع

[1] J. C. Abbott, Sets, lattices and Boolean algebras. Allyn and Bacon, Boston, 1969.

[2] H. Aktas and N. Cagman, Soft sets and soft groups. Information Sciences, 177 (2007), 2726-2735.

[3] M. I. Ali, F. Feng, X. Liu, W. K. Min and M. Shabir, On some new operations in soft set theory. Computers and Mathematica with Applications, 57 (9) (2009), 1547-1553.

[4] A. Aygunoglu and H. Aygun, Introduction to fuzzy soft groups. Computers and Mathematica with Applications, 58 (2009), 1279-1286.

[5] Cheng-Fu Yang, Fuzzy soft semigroup and fuzzy soft ideals. Computers and Mathematica with Applications, 61 (2011), 255-261.

[6] F. Feng, Y. B. Jun and X. Zhao, Soft semirings. Computers and Mathematica with Applications, 56 (2008), 2621-2628.

[7] P. Dheena and G. Satheeshkumar, On strongly regular near-subtraction semigroups. Commun. Korean Math. Soc., 22(3) (2007), 323-330.

[8] P. Dheena and G. Satheeshkumar, Weakly prime left ideals in near-subtraction semigroups. Commun. Korean Math. Soc., 23(3) (2008), 325-331.

[9] P. Dheena and G. Mohanraj, Fuzzy weakly prime ideals in near-subtraction semigroups. Annals of Fuzzy Mathematics and Informatics, 4(2) (2012), 235-242.

[10] Y. B. Jun, Kyung Ja Lee and Asghar Khan, Ideal theory of subtraction algebras. Sci. Math. Jpn, 61 (2005), 459-464.

[11] P. K Maji, A. R. Roy and R. Biswas, An application of soft sets in decision making problem. Computers and Mathematics with Applications, 44 (2002), 1077-1083.

[12] P. K Maji, R. Biswas and A. R. Roy, Soft set theory. Computers and Mathematics with Applications, 45 (2003), 555-563.

[13] P. K Maji, R. Biswas and A. R. Roy, Fuzzy soft set. The Journal Fuzzy Mathematics, 9 (2001), 586-602.

[14] D. Molodsov, Soft set theory-first result. Computers and Mathematics with Applications, 37 (1999), 19-31.

[15] D. R. Prince Williams and Arshan Borumand Saeid, Fuzzy soft ideals in subtraction algebras. Neural Comput. and Applic., 21 (2012), S159-S169.

[16] D. R. Prince Williams, Fuzzy ideals in near-subtraction semigroups. International Scholarly and Scientific Research & Innovation, 2(7) (2008), 625-632.

[17] B. M. Schein, Difference semigroups. Commun Algebra, 20 (1992), 2513-2169.

[18] B. Zelinka, Subtraction semigroups. Math. Bohemia, 120 (1995), 445-447.