Browse > Article
http://dx.doi.org/10.5831/HMJ.2012.34.1.125

CHARACTERIZATIONS OF FALLING FUZZY IDEALS  

Jun, Young-Bae (Department of Mathematics Education (and RINS), Gyeongsang National University)
Song, Seok-Zun (Department of Mathematics, Jeju National University)
Roh, Eun-Hwan (Department of Mathematics Education, Chinju National University of Education)
Publication Information
Honam Mathematical Journal / v.34, no.1, 2012 , pp. 125-133 More about this Journal
Abstract
Relations among falling fuzzy ideals, falling fuzzy implicative ideals, falling fuzzy positive implicative ideals and falling fuzzy commutative ideals are considered. Characterizations of falling fuzzy positive implicative ideals and other related ideals are discussed.
Keywords
Falling shadow; Positive implicative ideal; Fuzzy positive implicative ideal; Falling fuzzy positive implicative ideal;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Y. B. Jun and M. S. Kang, Falling fuzzy commutative ideals of BCK-algebras, J. Korean Soc. Math. Edu. Ser. B: Pure Appl. Math. 18 (2011) 41-50.   과학기술학회마을   DOI   ScienceOn
2 Y. B. Jun, M. S. Kang and C. H. Park, Implicative ideals of BCK-algebras based on the fuzzy sets and the theory of falling shadows, Internat. J. Math. Math. Sci. Volume 2010, Article ID 819463, 11 pages.
3 Y. B. Jun and C. H. Park, Falling shadows applied to subalgebras and ideals of BCK/BCI-algebras, Chaos, Solitions and Fractals (submitted).
4 Y. B. Jun, M. A. Ozturk and A. Firat, Characterizations of falling fuzzy positive implicative ideals in BCK-algebras, Appl. Soft Comput. (submitted).
5 Y. B. Jun and E. H. Roh, Fuzzy commutative ideals of BCK-algebras, Fuzzy Sets and Systems 64 (1994) 401-405.   DOI   ScienceOn
6 J. Meng and Y. B. Jun, BCK-algebras, Kyungmoon Sa Co. Seoul 1994.
7 S. M. Mostafa, Fuzzy implicative ideals of BCK-algebras, Fuzzy Sets and Systems 87 (1997) 361-368.   DOI   ScienceOn
8 S. K. Tan, P. Z. Wang and E. S. Lee, Fuzzy set operations based on the theory of falling shadows, J. Math. Anal. Appl. 174 (1993) 242-255.   DOI   ScienceOn
9 S. K. Tan, P. Z. Wang and X. Z. Zhang, Fuzzy inference relation based on the theory of falling shadows, Fuzzy Sets and Systems 53 (1993) 179-188.   DOI   ScienceOn
10 P. Z. Wang, Fuzzy Sets and Falling Shadows of Random Sets, Beijing Normal Univ. Press, People's Republic of China, 1985. [In Chinese]
11 P. Z. Wang and E. Sanchez, Treating a fuzzy subset as a projectable random set, in: M. M. Gupta, E. Sanchez, Eds., "Fuzzy Information and Decision" (Pergamon, New York, 1982) 212-219.
12 O. G. Xi, Fuzzy BCK-algebras, Math. Japon. 36 (1991) 935-942.
13 Y. B. Jun and M. S. Kang, Fuzzy positive implicative ideals of BCK-algebras based on the theory of falling shadows, Comput. Math. Appl. 61 (2011) 62-67.
14 I. R. Goodman, Fuzzy sets as equivalence classes of random sets, in "Recent Developments in Fuzzy Sets and Possibility Theory"(R. Yager, Ed.), Pergamon, New York (1982).
15 Y. B. Jun, S. M. Hong, J. Meng and X. L. Xin, Characterizations of fuzzy positive implicative ideals in BCK-algebras, Math. Japon. 40 (1994) 503-507.