Fuzzy h-ideals of hemirings

Information Sciences

Volumn 177, Issue 3, 2007, Pages 876-886

  Zhan, Jianming ^a   Dudek, Wiesław A ^b  

^a HUBEI UNIVERSITY FOR NATIONALITIES   (China)

^b WROCLAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Fuzzy h ideal; H hemiregular hemiring; Hemiring; Normal fuzzy h ideal; Prime fuzzy h ideal

Indexed keywords

INFORMATION TECHNOLOGY;

FUZZY H-IDEAL; HEMIRING;

FUZZY SETS;

EID: 33750713988     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2006.04.005     Document Type: Article

References (22)

1. Aho A.W., and Ullman J.D. Introduction to Automata Theory, Languages and Computation (1979), Addison-Wesley, Reading, MA
2. Baik S.I., and Kim H.S. On fuzzy k-ideals in semirings. Kangweon-Kyunki Math. J. 8 (2000) 147-154
3. Bogdanov I.I. The Nagata-Higman theorem for hemirings. Fundam. Prikl. Mat. 7 (2001) 651-658
4. Cohen G., Gaubert S., and Quadrat J.P. Algebraic system analysis of timed Petri nets. Idempotency (1988), Cambridge University Press, Cambridge 145-170
5. Dubois D., and Prade H. Fuzzy Sets Syst.: Theory and Applications (1980), Academic Press, New York
6. Ghosh S. Fuzzy k-ideals of semirings. Fuzzy Sets Syst. 95 (1998) 103-108
7. Glazek K. A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences: With Complete Bibliography (2002), Kluwer Acad. Publ., Dodrecht
8. Golan J.S. Power Algebras over Semirings with Applications in Mathematics and Computer Science (1999), Kluwer Acad. Publ., Dodrecht
9. Hashiguchi K. Limitedness theorem for finite automata with distance functions. J. Comput. Syst. Sci. 24 (1982) 233-244
10. Henriksen M. Ideals in semirings with commutative addition. Amer. Math. Soc. Notices 6 (1958) 321
11. Iizuka K. On the Jacobson radical of a semiring. Tohuku Math. J. 11 2 (1959) 409-421
12. Jun Y.B., Öztürk M.A., and Song S.Z. On fuzzy h-ideals in hemirings. Inform. Sci. 162 (2004) 211-226
13. Kondo M., and Dudek W.A. On the transfer principle in fuzzy theory. Mathware Soft Comput. 12 (2005) 41-55
14. Malik D.S., and Mordeson J.N. Extensions of fuzzy subrings and fuzzy ideals. Fuzzy Sets Syst. 45 (1992) 245-251
15. Mukherjee T.K., and Sen M.K. Prime fuzzy ideals in rings. Fuzzy Sets Syst. 32 (1989) 337-341
16. Piochi B. Congruences of inversive hemirings. Stud. Sci. Math. Hung. 23 (1988) 251-255
17. Roos C., and Wiegandt R. On the radical theory of graded rings which are inverse hemirings. Stud. Sci. Math. Hung. 32 (1996) 107-117
18. Salomaa A. Formal Languages (1973), Academic Press, London
19. I. Simon, The nondeterministic complexity of finite automaton, in: Notes, Hermes, Paris, 1990, pp. 384-400.
20. La Torre D.R. On h-ideals and k-ideals in hemirings. Publ. Math. Debrecen 12 (1965) 219-226
21. Wechler W. The Concept of Fuzziness in Automata and Language Theory (1978), Akademie-Verlag, Berlin
22. Zhan J., and Tan Z. T-fuzzy k-ideals of semirings. Sci. Math. Japon. 58 (2003) 597-601