The group of isometries of an indistinguishability operator

Fuzzy Sets and Systems

Volumn 146, Issue 1, 2004, Pages 27-41

  Jacas, J ^a   Recasens, J ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Fuzzy equality; Fuzzy number; Indistinguishability operator; Isometry; Normal fuzzy subgroup; Similarity

Indexed keywords

ALGORITHMS; FUZZY SETS; MATHEMATICAL MODELS; MATHEMATICAL TECHNIQUES; MATRIX ALGEBRA; SET THEORY;

FUZZY EQUALITY; FUZZY NUMBER; INDISTINGUISHABILITY OPERATOR; ISOMETRY; NORMAL FUZZY SUBGROUP; SIMILARITY;

MATHEMATICAL OPERATORS;

EID: 3042552381     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2003.11.004     Document Type: Conference Paper

References (16)

1. Boixader D., Jacas J. T-indistinguishability operators and approximate reasoning via CRI. Dubois D., Prade H. Fuzzy Sets, Logics and Reasoning about Knowledge. 1999;255-268 Kluwer, Dordrecht.
2. Boixader D., Jacas J., Recasens J. Fuzzy equivalence relations: advanced material. Dubois D., Prade H. Fundamentals of Fuzzy Sets. 2000;261-290 Kluwer, Dordrecht.
3. M. Demirci, J. Recasens, Fuzzy groups, fuzzy functions and fuzzy equivalence relations, Fuzzy Sets and Systems, in press.
4. Jacas J. On the generators of T-indistinguishability operators. Stochastica. 12:1988;49-63.
5. J. Jacas, J. Recasens, Fuzzy numbers and equality relations, Proceedings of the FUZZIEEE'93, vol. 2, IEEE Press, San Francisco, 1993, pp. 1298-1302.
6. Jacas J., Recasens J. Fuzzy T-transitive relations. eigenvectors and generators Fuzzy Sets and Systems. 72:1995;147-154.
7. Jacas J., Recasens J. One-dimensional indistinguishability operators. Fuzzy Sets and Systems. 109:2000;447-451.
8. P. Klement, R. Mesiar, E. Pap, Triangular Norms, Kluwer, Dordrecht, 2001.
9. Rosenfeld A. Fuzzy groups. J. Math. Anal. Appl. 35:1971;512-517.
10. Schweizer B., Sklar A. Probabilistic Metric Spaces. 1983;North-Holland, Amsterdam.
11. De Soto A.R., Recasens J. Modeling a linguistic variable as a hierarchical family of partitions induced by an indistinguishability operator. Fuzzy Sets and Systems. 121:2001;57-67.
12. E. Trillas, Sobre funciones de negación en la teoría de los subconjuntos difusos, Stochastica 3 (1979) 47-59 (in Spanish), reprinted (English version) in S. Barro, et al. (Eds.), Advances of Fuzzy Logic, Universidad de Santiago de Compostela, 1998, pp. 31-43.
13. E. Trillas, Sobre funciones de negación en la teoría de los subconjuntos difusos, Stochastica 3 (1979) 47-59 (in Spanish), reprinted (English version) in S. Barro, et al. (Eds.), Advances of Fuzzy Logic, Universidad de Santiago de Compostela, 1998, pp. 31-43.
14. E. Trillas, C. Alsina, Introducción a los Espacios Métricos Generalizados, vol. 49, Madrid, Fund. J. March. Serie Universitaria, 1978.
15. Valverde L. On the structure of F-indistinguishability operators. Fuzzy Sets and Systems. 17:1985;313-328.
16. Zadeh L.A. Similarity relations and fuzzy orderings. Inform. Sci. 3:1971;177-200.