Entropy of -sums and -products of - fuzzy numbers
Anna Kolesárová; Doretta Vivona
Kybernetika (2001)
- Volume: 37, Issue: 2, page [127]-145
- ISSN: 0023-5954
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top- Alsina C., Trillas E., Sur les mesures du degré de flou, Stochastica 3 (1979), 81–84 (1979) Zbl0425.94030MR0562445
- Batle N., Trillas E., 10.1016/0022-247X(79)90158-6, J. Math. Anal. Appl. 69 (1979), 469–474 (1979) Zbl0421.28015MR0538233DOI10.1016/0022-247X(79)90158-6
- 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 (1995) Zbl0953.28014MR1391011
- Benvenuti P., Vivona, D., Divari M., Divergence and fuzziness measures, Soft Computing (2000), in press Zbl0993.28009
- 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 (1998)
- Couso I., Gil P., Measure of fuzziness of type 2 fuzzy sets, In: Proceedings IPMU’96, Granada 1996, pp. 581–584 (1996)
- Baets B. De, Marková–Stupňanová A., 10.1016/S0165-0114(97)00141-3, Fuzzy Sets and Systems 91 (1997), 203–213 (1997) MR1480046DOI10.1016/S0165-0114(97)00141-3
- Luca A. De, Termini S., 10.1016/S0019-9958(72)90199-4, Inform. and Control 20 (1972), 301–312 (1972) MR0327383DOI10.1016/S0019-9958(72)90199-4
- Dubois D., Prade H., 10.1109/TAC.1981.1102744, IEEE Trans. Automat. Control 26 (1981), 926–936 (1981) MR0635852DOI10.1109/TAC.1981.1102744
- 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 Zbl0988.26020MR1890240
- Ebanks B. R., 10.1016/0022-247X(83)90003-3, J. Math. Anal. Appl. 94 (1983), 24–37 (1983) Zbl0523.94036MR0701447DOI10.1016/0022-247X(83)90003-3
- Hong D. H., Hwang, Ch., Upper bound of –sums of – fuzzy numbers, In: Proceedings IPMU’96, Granada 1996, pp. 347–353 (1996)
- Kaufmann A., Introduction to the Theory of Fuzzy Subsets: Volume 1, Academic Press, New York 1975 MR0485402
- Klement E. P., Mesiar R., Triangular norms, Tatra Mountains Math. Publ. 13 (1997), 169–194 (1997) Zbl0915.04002MR1483147
- Klement E. P., Mesiar, R., Pap E., Quasi and pseudo–inverses of monotone functions, and the constructions of -norms, Fuzzy Sets and Systems 104 (1999), 3–13 (1999) MR1685803
- Klement E. P., Mesiar, R., Pap E., Triangular Norms, Kluwer Academic Publishers, Dordrecht 2000 Zbl1087.20041MR1790096
- Knopfmacher J., 10.1016/0022-247X(75)90196-1, J. Math. Anal. Appl. 49 (1975), 529–534 (1975) Zbl0308.02061MR0434619DOI10.1016/0022-247X(75)90196-1
- Kolesárová A., Triangular norm-based addition of linear fuzzy numbers, Tatra Mountains Math. Publ. 6 (1995), 75–81 (1995) Zbl0851.04005MR1363985
- Kolesárová A., 10.1016/S0165-0114(97)00142-5, Fuzzy Sets and Systems 91 (1997), 215–229 (1997) Zbl0920.04009MR1480047DOI10.1016/S0165-0114(97)00142-5
- Kolesárová A., Triangular norm-based additions preserving linearity of linear fuzzy intervals, Mathware and Soft Computing 5 (1998), 91–98 (1998) MR1632755
- Loo S. G., Measures of fuzziness, Cybernetica 20 (1997), 201–210 (1997)
- Mareš M., Computation over Fuzzy Quantities, CRC Press, Boca Raton 1994 Zbl0859.94035MR1327525
- Marková–Stupňanová A., 10.1016/0165-0114(95)00370-3, Fuzzy Sets and Systems 85 (1996), 379–384 (1996) DOI10.1016/0165-0114(95)00370-3
- Mesiar R., Computation over – fuzzy numbers, In: Proceedings CIFT’95, Trento 1995, pp. 165–176 (1995)
- Mesiar R., – fuzzy numbers, In: Proceedings IPMU’96, Granada 1996, pp. 337–342 (1996) Zbl0871.04010
- Mesiar R., 10.1016/0165-0114(95)00178-6, Fuzzy Sets and Systems 79 (1996), 259–261 (1996) MR1388398DOI10.1016/0165-0114(95)00178-6
- Mesiar R., 10.1016/0165-0114(95)00401-7, Fuzzy Sets and Systems 86 (1997), 73–78 (1997) Zbl0921.04002MR1438439DOI10.1016/0165-0114(95)00401-7
- Mesiar R., 10.1016/S0165-0114(97)00143-7, Fuzzy Sets and Systems 91 (1997), 231–237 (1997) MR1480048DOI10.1016/S0165-0114(97)00143-7
- Nguyen H. T., 10.1016/0022-247X(78)90045-8, J. Math. Anal. Appl. 64 (1978), 369–380 (1978) MR0480044DOI10.1016/0022-247X(78)90045-8
- Pal N. R., Bezdek J. C., 10.1109/91.277960, IEEE Trans. Fuzzy Syst. 2 (1994), 107–118 (1994) DOI10.1109/91.277960
- 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 Zbl0986.94056MR1890239
- Sander W., 10.1016/0165-0114(89)90135-8, Fuzzy Sets and Systems 29 (1989), 49–55 (1989) MR0976287DOI10.1016/0165-0114(89)90135-8
- Schweizer B., Sklar A., Probabilistic Metric Spaces, North–Holland, Amsterdam 1983 Zbl0546.60010MR0790314
- Trillas E., Riera T., 10.1016/0020-0255(78)90005-1, Inform. Sci. 15 (1978), 158–168 (1978) MR0538847DOI10.1016/0020-0255(78)90005-1
- Wang W. J., Chiu, Ch. H., The entropy of fuzzy numbers with arithmetical operations, Fuzzy Sets and Systems 111 (2000), 357–366 MR1748553
- Vivona D., Mathematical aspects of the theory of measures of fuzziness, Mathware and Soft Computing 3 (1996), 211–224 (1996) Zbl0859.04007MR1414268
- Yager R. R., 10.1080/03081077908547452, Internat. J. Gen. Systems 5 (1979), 221–229 (1979) MR0553492DOI10.1080/03081077908547452
- Zadeh L. A., 10.1016/0022-247X(68)90078-4, J. Math. Anal. Appl. 23 (1968), 421–427 (1968) Zbl0174.49002MR0230569DOI10.1016/0022-247X(68)90078-4
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