On connection between uncertainty algebraic hypersystems and probability spaces

International Journal of Uncertainty, Fuzziness and Knowldege-Based Systems

Volumn 13, Issue 3, 2005, Pages 337-345

  Davvaz, B ^a  

^a YAZD UNIVERSITY   (Iran)

Author keywords

Algebraic hyperstructure; Fuzzy set; Probability space; Random set

Indexed keywords

COMPUTATIONAL COMPLEXITY; FUNCTIONS; PROBABILITY; THEOREM PROVING; TRIANGULATION;

ALGEBRAIC HYPERSTRUCTURE; ALGEBRAIC HYPERSYSTEMS; PROBABILITY SPACE; RANDOM SETS;

FUZZY SETS;

EID: 22944474941     PISSN: 02184885     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218488505003497     Document Type: Article

References (22)

1. F. Marty, "Sur une generalization de la notion de group", in Proc. 8nd Congress Math. Scandenaves, Stockholm, 1934, pp. 45-49.
2. S.D. Comer, "Polygroups derived from cogroups", J. Algebra 89 (1984) 397-405.
3. P. Corsini, Prolegomena of hypergroup theory (Second edition, Aviani Editor, 1993).
4. T. Vougiouklis, Hyperstructures and their representations (Hadronic Press, Inc, 115, Palm Harber, USA, 1994).
5. L.A. Zadeh, "Fuzzy sets", Inform. Control 8 (1965) 338-353.
6. A. Rosenfeld, "Fuzzy groups", J. Math. Anal. Appl. 35 (1971) 512-517.
7. J.M. Anthony and H. Sherwood, "Fuzzy groups redefined", J. Math. Anal. Appl. 69 (1979) 124-130.
8. B. Schweizer and A. Sklar, "Statistical metric space", Pacific J. Math. 10 (1960) 313-334.
9. M. Akgul, "Some properties of fuzzy groups", J. Math. Anal. Appl. 133 (1988) 93-100.
10. L. Biacino and G. Gerla, "Closure system and L-subalgebras", Inform. Sci. 32 (1984) 181-195.
11. Lu Tu and Wen-xiang Gu, "Fuzzy algebraic systems I, Direct products", Fuzzy sets and systems 61 (1994) 313-327.
12. Zhudeng Wang, "On L-subsets and Tl-subalgebras", Fuzzy sets and systems 65 (1994) 59-69.
13. 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.
14. 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.
15. v-groups", Fuzzy sets and systems 101 (1999) 191-195.
16. v-subgroups", J. Fuzzy Math. 8 (2000) No. 1, 43-51.
17. B. Davvaz, "TL-subpolygroups of a polygroup", Pure Math. Appl. 12 (2001) 137-145.
18. B. Davvaz, "Interval-values fuzzy subhypergroups, Korean J. Comput. Appl. Math. 6 (1999)197-202.
19. M.M. Zahedi, M. Bolurian and A. Hasankhani, "On polygroups and fuzzy subpolygroups", J. Fuzzy Math. 3 (1995) 1-15.
20. P.Z. Wang, Fuzzy sets and falling shadows of random sets (Beijing Normal University Press, China, 1985).
21. I.R. Goodman, "Fuzzy sets as equivalence classes of random sets", in Recent Development in Fuzzy Sets and Possibility Theory, ed R. Yager (Pergamona, New York, 1982) pp. 327-342.
22. Q.D. Li and E.S. Lee, "On random α-cuts", J. Math. Anal. Appl. 190 (1995) 546-558.