Interval-valued Fuzzy Quasi-ideals in a Semigroups |
Kim, Sang-Mok
(Division of General Education - Mathematics, Kwangwoon University)
Hur, Kul (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University) Cheong, Min-Seok (GyeongGi Science High School for the gifted) Chae, Gab-Byung (Division of Mathematics and Informational Statistics, and Institute of Natural Basic Sciences, Wonkwang University) |
1 | A. H. Clifford, G.B.Preston, "The Algebraic Theory of Semigroup," Vol. 1, AMS, Soc. Providence, 1961. |
2 | R. Biswas, "Rosenfeld's fuzzy subgroups with interval-valued membership functions," Fuzzy Sets and Systems, 63, pp. 87-90, 1995. |
3 | M. S. Cheong and K. Hur, "Interval-valued fuzzy generalized bi-ideals of a semigroup," To be submitted. |
4 | J. Y. Choi, S. K. Kim and K. Hur, "Interval-valued smooth topological spaces," Honam Math. J., 32, (4), pp. 711-738, 2010. 과학기술학회마을 DOI ScienceOn |
5 | H. W. Kang and K. Hur, "Interval-valued fuzzy subgroups and subrings," Honam Math. J., 32, (4), pp. 543-617, 2010. |
6 | S. Lajos, "On generalized bi-ideals in semigroups," Coll. Math. Soc. Janos Bilyai, 20, Algebraic Theory of Semigroups, North-Holland, pp. 335-340, 1979. |
7 | K. C. Lee, H. W. Kang and K. Hur, "Interval-valued fuzzy ideals and bi-ideals," To be submitted. |
8 | T. K. Mondal and S. K. Samanto, "Topology of interval-valued fuzzy sets," Indian J. Pure Appl. Math., 30, (1), pp. 20-38, 1999. |
9 | O. Steinfeld, "Quasi-ideals in Rings and Semigroups," Akademiakiado, Budapest, 1978. |
10 | L. A. Zadeh, "Fuzzy sets," Inform. and Centrol, 8, pp. 338-353, 1965. DOI |
11 | L. A. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning I," Inform. Sci. 8, pp. 199-249, 1975. DOI ScienceOn |
12 | J. Ahsan, R. M. Latif, "Fuzzy quasi-ideals in semigroups," J. Fuzzy Math., 9, No. 2, pp. 259-270, 2001. |