Characterization of L-fuzzy semi-filters and semi-ideals

2009 International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference, IFSA-EUSFLAT 2009 - Proceedings

Volumn , Issue , 2009, Pages 1073-1078

  Jimenez, Jorge ^a   Montes, Susana ^a   Seselja, Branimir ^b   Tepavcevic, Andreja ^b  

^a UNIVERSITY OF OVIEDO   (Spain)

^b UNIVERSITY OF NOVI SAD   (Serbia)

Author keywords

L valued down sets; L valued sets (L fuzzy sets); L valued up sets

Indexed keywords

COMPLETE LATTICES; FUZZY INCLUSION; L-FUZZY SETS; L-VALUED DOWN-SETS; L-VALUED UP-SETS; SUFFICIENT CONDITIONS;

FUZZY LOGIC; FUZZY SYSTEMS; SET THEORY;

FUZZY FILTERS;

EID: 84871906514     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (23)

1. J.A. Goguen. l-fuzzy sets. J. Math. Anal. Appl, 18: 145-174, 1967.
2. C.V. Negoita and D.A. Ralescu. Applications of fuzzy sets to system analysis. Basel, Birkhäuser Verlag, 1975.
3. R. Bělohlávek. Fuzzy Relational Systems. Kluwer Academic Publishers, 2002.
4. S. Díaz, B. De Baets, and S. Montes. Additive decomposition of fuzzy pre-orders. Fuzzy Sets and Systems, 158: 830-842, 2007.
5. S. Díaz, S. Montes, and B. De Baets. Transitivity bounds in additive fuzzy preference structures. IEEE Trans. Fuzzy Systems, 15: 275-286, 2007.
6. L.A. Zadeh. Similarity relations and fuzzy orderings. Inform. Sci., pages 177-200, 1971.
7. B. Borchardt, A. Maletti, B. Seselja, A. Tepavčević, and H. Vogler. Cut sets as recognizable tree languages. Fuzzy Sets and Systems, 157: 1560-1571, 2006.
8. L.M. Brown and E. Ertürk. Fuzzy sets as texture spaces, i. representation theorems. Fuzzy Sets and Systems, 110: 227-235, 2000.
9. M. Chechik, B. Devereux, S. Easterbrook, A.Y.C. Lai, and V. Petrovykh. Efficient multiple-valued model-checking using lattice representations. Lecture Notes in Computer Science, 2154: 451-465, 2001.
10. Y.M. Liu and M.K. Luo. Fuzzy Topology. World Scientific, 1997.
11. B. Seselja. l-fuzzy covering relation. Fuzzy Sets and Systems, 158: 2456-2465, 2007.
12. B. Seselja and A. Tepavcević. A note on natural equivalence relation on fuzzy power set. Fuzzy Sets and Systems, 148: 201-210, 2004.
13. B. Seselja, A. Tepavcević, and H. Vogler. A note on cut-worthiness of recognizable tree series. Fuzzy Sets and Systems, 159: 3087-3090, 2008.
14. A. Tepavčević and G. Trajkovski. l-fuzzy lattices: an introduction. Fuzzy Sets and Systems, 123: 209-216, 2001.
15. R. Fuentes-González. Down and up operators associated to fuzzy relations and t-norms: A definition of fuzzy semi-ideals. Fuzzy Sets and Systems, 117: 377-389, 2001.
16. G. Birkhoff. Lattice Theory. Amer. Math. Soc. Providence R.I., 1967.
17. B.A. Davey and H.A. Priestley. Introduction to Lattices and Order. Cambridge University Press, 1992.
18. B. Seselja and A. Tepavčević. Completion of ordered structures by cuts of fuzzy sets, an overview. Fuzzy Sets and Systems, 136: 1-19, 2003.
19. B. Seselja and A. Tepavčević. Representing ordered structures by fuzzy sets, an overview. Fuzzy Sets and Systems, 136: 21-39, 2003.
20. M. Gorjanac-Ranitović and A. Tepavčević. General form of lattice-valued fuzzy sets under the cutworthy approach. Fuzzy Sets and Systems, pages 1213-1216, 2007.
21. B. Seselja and A. Tepavčević. Representation of lattices by fuzzy sets. Information Sciences, 79: 171-180, 1993.
22. D. Sinha. A general theory of fuzzy arithmetic. Fuzzy Sets and Systems, 36: 339-363, 1990.
23. A. Jaballah and F.B. Saidi. Uniqueness results in the representation of families of sets by fuzzy sets. Fuzzy Sets and Systems, 157: 964-975, 2006.