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[1] Alsina C., Trillas E.: Sur les mesures du degré de flou. Stochastica 3 (1979), 81–84 MR 0562445 | Zbl 0425.94030
[2] Batle N., Trillas E.: Entropy and fuzzy integral. J. Math. Anal. Appl. 69 (1979), 469–474 MR 0538233 | Zbl 0421.28015
[3] Benvenuti P., Vivona, D., Divari M.: Fuzziness measures via Sugeno’s integral. In: Fuzzy Logic and Soft Computing (B. Bouchon–Meunier, R. R. Yager and L. A. Zadeh, eds.). Adv. Fuzzy Systems 4 (1995), 330–336 MR 1391011 | Zbl 0953.28014
[4] Benvenuti P., Vivona, D., Divari M.: Divergence and fuzziness measures. Soft Computing (2000), in press Zbl 0993.28009
[5] Benvenuti P., Vivona, D., Divari M.: Order relations for fuzzy sets and entropy measure. In: New Trends in Fuzzy Systems (D. Mancini, M. Squillante, A. Ventre, eds.), World Scientific 1998, pp. 224–232
[6] Couso I., Gil P.: Measure of fuzziness of type 2 fuzzy sets. In: Proceedings IPMU’96, Granada 1996, pp. 581–584
[7] Baets B. De, Marková–Stupňanová A.: Analytical expression for the additions of fuzzy intervals. Fuzzy Sets and Systems 91 (1997), 203–213 MR 1480046
[8] Luca A. De, Termini S.: A definition of a non probabilistic entropy in the setting of fuzzy sets theory. Inform. and Control 20 (1972), 301–312 MR 0327383
[9] Dubois D., Prade H.: Additions of interactive fuzzy numbers. IEEE Trans. Automat. Control 26 (1981), 926–936 MR 0635852
[10] Dubois D., Kerre E. E., Mesiar, R., Prade H.: Fuzzy interval analysis. In: Fundamentals of Fuzzy Sets (D. Dubois and H. Prade, eds.), Kluwer Academic Publishers, Dordrecht 2000, pp. 483–582 MR 1890240 | Zbl 0988.26020
[11] Ebanks B. R.: On measures of fuzziness and their representations. J. Math. Anal. Appl. 94 (1983), 24–37 MR 0701447 | Zbl 0523.94036
[12] Hong D. H., Hwang, Ch.: Upper bound of $T$–sums of $L$–$R$ fuzzy numbers. In: Proceedings IPMU’96, Granada 1996, pp. 347–353
[13] Kaufmann A.: Introduction to the Theory of Fuzzy Subsets: Volume 1. Academic Press, New York 1975 MR 0485402
[14] Klement E. P., Mesiar R.: Triangular norms. Tatra Mountains Math. Publ. 13 (1997), 169–194 MR 1483147 | Zbl 0915.04002
[15] Klement E. P., Mesiar, R., Pap E.: Quasi and pseudo–inverses of monotone functions, and the constructions of $t$-norms. Fuzzy Sets and Systems 104 (1999), 3–13 MR 1685803
[16] Klement E. P., Mesiar, R., Pap E.: Triangular Norms. Kluwer Academic Publishers, Dordrecht 2000 MR 1790096 | Zbl 1087.20041
[17] Knopfmacher J.: On measures of fuzziness. J. Math. Anal. Appl. 49 (1975), 529–534 MR 0434619 | Zbl 0308.02061
[18] Kolesárová A.: Triangular norm-based addition of linear fuzzy numbers. Tatra Mountains Math. Publ. 6 (1995), 75–81 MR 1363985 | Zbl 0851.04005
[19] Kolesárová A.: Similarity preserving $t$-norm-based additions of fuzzy numbers. Fuzzy Sets and Systems 91 (1997), 215–229 MR 1480047 | Zbl 0920.04009
[20] Kolesárová A.: Triangular norm-based additions preserving linearity of linear fuzzy intervals. Mathware and Soft Computing 5 (1998), 91–98 MR 1632755
[21] Loo S. G.: Measures of fuzziness. Cybernetica 20 (1997), 201–210
[22] Mareš M.: Computation over Fuzzy Quantities. CRC Press, Boca Raton 1994 MR 1327525 | Zbl 0859.94035
[23] Marková–Stupňanová A.: $T$–sums of $L$–$R$ fuzzy numbers. Fuzzy Sets and Systems 85 (1996), 379–384
[24] Mesiar R.: Computation over $L$–$R$ fuzzy numbers. In: Proceedings CIFT’95, Trento 1995, pp. 165–176
[25] Mesiar R.: $L$–$R$ fuzzy numbers. In: Proceedings IPMU’96, Granada 1996, pp. 337–342 Zbl 0871.04010
[26] Mesiar R.: A note on the $T$–sum of $L$–$R$ fuzzy numbers. Fuzzy Sets and Systems 79 (1996), 259–261 MR 1388398
[27] Mesiar R.: Shape preserving additions of fuzzy intervals. Fuzzy Sets and Systems 86 (1997), 73–78 MR 1438439 | Zbl 0921.04002
[28] Mesiar R.: Triangular norm-based additions of fuzzy intervals. Fuzzy Sets and Systems 91 (1997), 231–237 MR 1480048
[29] Nguyen H. T.: A note on a extension principle for fuzzy sets. J. Math. Anal. Appl. 64 (1978), 369–380 MR 0480044
[30] Pal N. R., Bezdek J. C.: Measuring fuzzy uncertainty. IEEE Trans. Fuzzy Syst. 2 (1994), 107–118
[31] Pal N. R., Bezdek J. C.: Quantifying different facets of fuzzy uncertainty. In: Fundamentals of Fuzzy Sets (D. Dubois and H. Prade, eds.), Kluwer Academic Publishers, Dordrecht 2000, pp. 459–480 MR 1890239 | Zbl 0986.94056
[32] Sander W.: On measures of fuzziness. Fuzzy Sets and Systems 29 (1989), 49–55 MR 0976287
[33] Schweizer B., Sklar A.: Probabilistic Metric Spaces. North–Holland, Amsterdam 1983 MR 0790314 | Zbl 0546.60010
[34] Trillas E., Riera T.: Entropies of finite fuzzy sets. Inform. Sci. 15 (1978), 158–168 MR 0538847
[35] Wang W. J., Chiu, Ch. H.: The entropy of fuzzy numbers with arithmetical operations. Fuzzy Sets and Systems 111 (2000), 357–366 MR 1748553
[36] Vivona D.: Mathematical aspects of the theory of measures of fuzziness. Mathware and Soft Computing 3 (1996), 211–224 MR 1414268 | Zbl 0859.04007
[37] Yager R. R.: On measures of fuzziness and negations, Part I: membership in the unit interval. Internat. J. Gen. Systems 5 (1979), 221–229 MR 0553492
[38] Zadeh L. A.: Probability measures of fuzzy events. J. Math. Anal. Appl. 23 (1968), 421–427 MR 0230569 | Zbl 0174.49002
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