Non-standard cut classification of fuzzy sets

Information Sciences

Volumn 177, Issue 1, 2007, Pages 161-169

  Janiš, Vladimír ^a   Šešelja, Branimir ^b   Tepavčević, Andreja ^b  

^a MATEJ BEL UNIVERSITY   (Slovakia)

^b UNIVERSITY OF NOVI SAD   (Serbia)

Author keywords

Closure; Cut; Equivalent fuzzy sets; Lattice valued fuzzy set

Indexed keywords

CLASSIFICATION (OF INFORMATION); INFORMATION SCIENCE; THEOREM PROVING;

CLOSURE; DECOMPOSITION THEOREM; EQUIVALENT FUZZY SETS; LATTICE-VALUED FUZZY SET;

FUZZY SETS;

EID: 33749671846     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2006.05.001     Document Type: Article

References (20)

1. Alkhamees Y. Fuzzy cyclic subgroups and fuzzy cyclic p-subgroups. J. Fuzzy Math. 3 4 (1995) 911-919
2. Bandemer H., and Gottwald S. Fuzzy Sets Fuzzy Methods Fuzzy Logic with Applications (1995), John Wiley Sons, London
3. Birkhoff G. Lattice Theory (1967), Amer. Math. Soc., Providence, RI
4. Davey B.A., and Priestley H.A. Introduction to Lattices and Order (1992), Cambridge University Press
5. Goguen J.A. L-fuzzy Sets. J. Math. Anal. Appl. 18 (1967) 145-174
6. Janiš V., and Tepavčević A. Metric in a Space with Fuzzy Compatibility. Indian J. Pure Appl. Math. 35 6 (2004) 737-745
7. Klir G., and Yuan B. Fuzzy Sets and Fuzzy Logic (1995), Prentice-Hall PTR
8. Liu Y.-M., and Luo M.-K. Fuzzy Topology (1997), World Scientific, Singapor
9. B.B. Makamba, Studies in fuzzy groups, Ph.D. Thesis, Rhodes University, Grahamstown, 1992.
10. Murali V., and Makamba B.B. On an equivalence of fuzzy subgroups I. Fuzzy Sets Syst. 123 (2001) 259-264
11. Negoita C.V., and Ralescu D.A. Applications of Fuzzy Sets to System Analysis (1975), Birkhäuser Verlag, Basel
12. Negoita C.V., and A Ralescu D. Representation theorems for fuzzy concepts. Kybernetes 4 (1975) 169-174
13. Palaniappan N. Fuzzy Topology (2005), Narosa Publishing House
14. Ralescu D.A. A survey of the representation of fuzzy concepts and its applications. In: Gupta M.M., Ragade R.K., and Yager R. (Eds). Advances in Fuzzy Sets Theory and Applications (1979), North Holland 77-91
15. Šešelja B., and Tepavčević A. Relational valued fuzzy sets. Fuzzy Sets Syst. 52 (1992) 217-222
16. Šešelja B., and Tepavčević A. Representation of lattices by fuzzy sets. Inform. Sci. 79 (1994) 171-180
17. Šeselja B., and Tepavčević A. Completion of ordered structures by cuts of fuzzy sets, an overview. Fuzzy Sets Syst. 136 (2003) 1-19
18. Šeselja B., and Tepavčević A. Representing ordered structures by fuzzy sets, an overview. Fuzzy Sets Syst. 136 (2003) 21-39
19. Šešelja B., and Tepavčević A. A note on natural equivalence relation on fuzzy power set. Fuzzy Sets Syst. 148 2 (2004) 201-210
20. Šešelja B., and Tepavčević A. Equivalent fuzzy sets. Kybernetika 41 (2005) 115-128