Issue:Intuitionistic fuzzy ideals and semirings

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Title of paper: Intuitionistic fuzzy ideals in semirings Author(s): Young Bae Jun Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, Korea ybjun@gsnu.ac.kr Hee Sik Kim Department of Mathematics, Hanyang University, Seoul 133-791, Korea heekim@hanyang.ac.kr Dall Sun Yoon Department of Mathematics, Hanyang University, Seoul 133-791, Korea dsyoon@hanyang.ac.kr Published in: "Notes on IFS", Volume 12 (2006) Number 2, pages 1-10 Download:  PDF (207  Kb, Info) Abstract: The purpose of this paper is to introduce the notions of intuitionistic fuzzy ideals of a semiring and equivalence relations on the family of all intuitionistic fuzzy ideals of a semiring and investigate some related properties. References: J. Ahsan and M. Shabir, Semirings with projective ideals, Math. Japonica 38 (1993), 271-276. P. J. Allen, A fundamental theorem of homomorphisms for semirings, Proc. Amer. Math. Soc. 21 (1969), 412-416. K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Sys. 20 (1986), 87-96. K. T. Atanassov, New operations de¯ned over the intuitionistic fuzzy sets, Fuzzy Sets and Sys. 61 (1994), 137-142. L. Dale, Direct sums of semirings and the Krull-Schmidt theorem, Kyungpook Math. J. 17, 135 - 141. Y. B. Jun and H. S. Kim, Intuitionistic fuzzy ideals of inclines, Notes on Intuitionistic Fuzzy Sets 5 (2) (1999), 33-41. Y. B. Jun, J. Neggers and H. S. Kim, On L-fuzzy ideals in semirings I, Czech. Math. J. 48 (1998), 669-675. Y. B. Jun, J. Neggers and H. S. Kim, Normal L-fuzzy ideals in semirings, Fuzzy Sets & Systems 82 (1996), 383-386. Y. B. Jun and H. S. Kim, Intuitionistic fuzzy ideals of inclines, (submitted). H. S. Kim, On quotient semiring and extension of quotient halfring, Comm. Korean Math. Soc. 4 (1989), 17-22. Wang-jin Liu, Fuzzy invariants subgroups and fuzzy ideals, Fuzzy Sets and Sys. 8 (1987), 133-139. T. K. Mukherjee and M. K. Sen, On fuzzy ideals of a ring I, Fuzzy Sets and Sys. 21 (1987), 99 - 104. J. Neggers, Y. B. Jun and H. S. Kim, On L-fuzzy ideals in semirings II, Czech. Math. J. 49(124) (1999), 127-133. K. L. N. Swamy and U. M. Swamy, Fuzzy prime idelas of rings, J. Math. Anal. Appl. 134 (1988), 345 - 350. Y. H. Yon, Y. B. Jun and K. H. Kim, Intuitionistic fuzzy R-subgroups of near-ring, Soochow J. Math. 27(3) (2001), 243-253. Zhang Yue, Prime L-fuzzy ideals and primary L-fuzzy ideals, Fuzzy Sets and Sys. 27 (1988), 345 - 350. L. A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965), 338 - 353. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.