Acknowledgement
Supported by : Hannam University
References
- A. H. Clifford and G. B. Preston, The Algebraic Theory of Semigroups, Math. Surveys No. 7, Am. Math. Soc. Province, RI. 1, 1961.
- J. M. Howie, An introduction to semigroup theory, Academic Press, 1976.
- J. L. Wang, Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Set and Systems 8 (1982), 133-139. https://doi.org/10.1016/0165-0114(82)90003-3
- J. P. Kim and D. R. Bae, Fuzzy congruences in groups, Fuzzy Set and Systems 85 (1997), 115-120. https://doi.org/10.1016/0165-0114(95)00334-7
- G. J. Klir and T. A. Folger, Fuzzy Sets, Uncertainties, and Information, F Prentice Hall, Englewood Cliffs. NJ, 1988.
- T. Kuraoka and N. Kuroki, On fuzzy quotient rings induced by fuzzy ideals, Fuzzy Set and Systems 47 (1992), 381-386. https://doi.org/10.1016/0165-0114(92)90303-L
- N. Kuroki, On fuzzy ideals and fuzzy bi-ideals in semigroups, Fuzzy Set and Systems 5 (1981), 203-251. https://doi.org/10.1016/0165-0114(81)90018-X
- N. Kuroki, Fuzzy semiprime ideals in semigroups, Fuzzy Set and Systems 8 (1982), 71-79. https://doi.org/10.1016/0165-0114(82)90031-8
- V. Murali, Fuzzy equivalence relations, Fuzzy Set and Systems 30 (1989), 155-163. https://doi.org/10.1016/0165-0114(89)90077-8
- M. Petrich, Introduction to semigroups, Charles E. Merrill. Columbus. OH. 5, 1973.
- A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35 (1971), 512-517. https://doi.org/10.1016/0022-247X(71)90199-5
- X. Xie, Fuzzy Rees congruences on Semigroups, Fuzzy Set and Systems 102 (1992), 353-359.
- L. A. Zadeh, Fuzzy sets, Inform. Control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X