Abstract
This paper is a substantial extension of [8]. In the following paragraphs the concepts and results presented in [8] are developed and commented in more details.
* Particular parts of the research the results of which are summarized in this paper were partly supported by the Key Project of the Academy of Sciences of the Czech Republic No. 1, by the Grant Agency of the Czech Republic grant No. 402/99/0032, by the Ministry of Education, Youth and Sports of the Czech Republic project No. VS 96063, Action COST 15 project, and grant VEGA 1/4064/97.
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References
S. M. Baas and H. K. Kwakernaak: Rating and ranking of multiple—aspect alternatives using fuzzy sets. Automatica 13 (1977), 47–58.
B. De Baets, M. Mareš, R. Mesiar: T-partition of the real line generated by idempotent shapes. Fuzzy Sets and Systems 91 (1997), 117–184.
D. Dubois and H. Prade: Ranking fuzzy numbers in the setting of possibility theory. Information Sciences 30 (1983), 182–224.
D. Dubois and H. Prade: Fuzzy numbers: An overview. In: J. Bezdek (Ed.): Analysis of Fuzzy Information. CRC-Press, Boca Raton, 1987, Vol. I, 3–39.
U. Höhle: Representation theorems for L—fuzzy quantities. Fuzzy Sets and Systems 5 (1981), 83–96.
J. Jacas, J. Recasens: Fuzzy numbers and equality relations. 2nd IEEE Internat. Conf. on Fuzzy Systems, San Francisco 1993, 1298–1301.
E. E. Kerre: The use of fuzzy set theory in electrocardiological diagnostics. In: M. M. Gupta and E. Sanchez, (Eds.): Approximate Reasoning in Decision—analysis, North Holland 1982, 277–282.
E. E. Kerre, M. Mareš, R. Mesiar: Orderings of generated fuzzy quantities. Proceedings of IPMU’98, La Sorbone, Paris 1998, Vol. I, 250–254.
E. P. Klement: Integration of fuzzy valued functions. Revue Roum. Math. Pures Appl. 30 (1985), 375–384.
M. Maaš and R. Mesiar: Processing of sources of fuzzy quantities. In: Proc. IPMU’96, Granada, Vol. I,359–363.
M. Mareš and R. Mesiar: Composition of shape generators. Acta Math. et Inf. Univ. Ostraviensis 4 (1996), 1, 37–45.
M. Mareš and R. Mesiar: Vagueness of verbal variable. In: J. Kacprzyk, R. Ribeiro, R. R. Yager, H.-J. Zimmermann (Eds.): Soft Computing of Financial Engineering, Physica Verlag (to appear).
X. Wang and E. E. Kerre: Reasonable properties for the ordering of fuzzy quantities. Part I. Fuzzy Sets and Systems (to appear).
X. Wang and E. E. Kerre: Reasonable properties for the ordering of fuzzy quantities. Part II. Fuzzy Sets and Systems (to appear).
R. R. Yager: On choosing between fuzzy subsets. Kybernetika 9 (1980), 151–154.
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Kerre, E.E., Mareš, M., Mesiar, R. (2000). Generated Fuzzy Quantities and Their Orderings. In: Bouchon-Meunier, B., Yager, R.R., Zadeh, L.A. (eds) Information, Uncertainty and Fusion. The Springer International Series in Engineering and Computer Science, vol 516. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5209-3_9
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