Characterizations of sub-semihypergroups by various triangular norms

Czechoslovak Mathematical Journal

Volumn 55, Issue 4, 2005, Pages 923-932

  Davvaz, B ^a,b  

^a Yazd University ^*

^b YAZD UNIVERSITY   (Iran)

Author keywords

Complete lattice; Fundamental relation; Probability space; Semihypergroup; Triangular norm

Indexed keywords

EID: 27844595880     PISSN: 00114642     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10587-005-0076-z     Document Type: Article

References (20)

1. M. Akgul: Some properties of fuzzy groups. J. Math. Anal. Appl. 133 (1998), 93-100.
2. J. M. Anthony and H. Sherwood: Fuzzy groups redefined. J. Math. Anal. Appl. 69 (1979), 124-130.
3. G. Birkhoff: Lattice Theory. American Mathematical Society, Collequium Publications, Vol. 25, 1979.
4. P. Corsini: Prolegomena of Hypergroup Theory, second edition. Aviani Editor, 1993.
5. v-subgroups. Fuzzy Math. 8 (2000), 43-51.
6. B. Davvaz: T L-subpolygroups of a polygroup. Pure Math. Appl. 12 (2001), 137-145.
7. B. Davvaz: Interval-values fuzzy subhypergroups. Korean J. Comput. Appl. Math. 6 (1999), 197-202.
8. v-groups. Fuzzy sets and systems 101 (1999), 191-195.
9. B. Davvaz: Fuzzy hyperideals in semihypergroups. Italian J. Pure Appl. Math. 8 (2000), 67-74.
10. J. A. Goguen: L-fuzzy sets. J. Math. Anal. Appl. 18 (1967), 145-174.
11. Young Bae Jun, Eun Hwan Roh and Hee Sik Kim: On fuzzy B-algebras. Czechoslovak Math. J. 52(127) (2002), 375-384.
12. Young Bae Jun, J. Neggers and Hee Sik Kim: On L-fuzzy ideals in semirings I. Czecho-slovak Math. J. 48(123) (1998), 669-675.
13. F. Marty: Sur une généralisation de la notion de groupe. Proceedings of the 8th Congress Math. Scandenaves, Stockholm. 1935, pp. 45-49.
14. J. Neggers, Young Bae Jun and Hee Sik Kim: On L-fuzzy ideals in semi-rings II. Czechoslovak Math. J. 49(124) (1999), 127-133.
15. V. V. Negoita and D. A. Ralescu: Applications of Fuzzy Sets System Analysis. Birkhäuser-Verlag, Basel, 1975.
16. A. Rosenfeld: Fuzzy groups. J. Math. Anal. Appl. 35 (1971), 512-517.
17. B. Schweizer and A. Sklar: Statistical metric spaces. Pacific J. Math, 10 (1960), 313-334.
18. T. Vougiouklis: Hyperstructures and Their Representations. Hadronic Press, Palm Harber, 1994.
19. Xue-hai Yuan and E. Stanly Lee: A fuzzy algebraic system based on the theory of falling shadows. J. Math. Anal. Appl. 208 (1997), 243-251.
20. L.A. Zadeh: Fuzzy sets. Inform. Control 8 (1965), 338-353.