Constrained fuzzy arithmetic: Basic questions and some answers

作者: G. J. Klir , Y. Pan

DOI: 10.1007/S005000050038

关键词:

摘要: The purpose of this paper is to critically examine the use fuzzy arithmetic in dealing with systems. It argued that well-known overestimation and other questionable results standard have one common cause: constraints regarding linguistic variables involved are not taken into account. A general formulation constrained – a nonstandard takes account these presented its basic characteristics examined. More specific then investigated for some types constraints.

参考文章(16)
George J. Klir, The Role of Constrained Fuzzy Arithmetic in Engineering Springer, Boston, MA. pp. 1- 19 ,(1998) , 10.1007/978-1-4615-5473-8_1
Didier Dubois, Henri Prade, FUZZY NUMBERS: AN OVERVIEW Morgan Kaufmann. pp. 112- 148 ,(1993) , 10.1016/B978-1-4832-1450-4.50015-8
G.J. Klir, J.A. Cooper, On constrained fuzzy arithmetic Proceedings of IEEE 5th International Fuzzy Systems. ,vol. 2, pp. 1285- 1290 ,(1996) , 10.1109/FUZZY.1996.552362
George J. Klir, Fuzzy arithmetic with requisite constraints Fuzzy Sets and Systems. ,vol. 91, pp. 165- 175 ,(1997) , 10.1016/S0165-0114(97)00138-3
YIN PAN, BO YUAN, BAYESIAN INFERENCE OF FUZZY PROBABILITIES International Journal of General Systems. ,vol. 26, pp. 73- 90 ,(1997) , 10.1080/03081079708945170
LUIS M. DE CAMPOS, JUAN F. HUETE, SERAFIN MORAL, PROBABILITY INTERVALS: A TOOL FOR UNCERTAIN REASONING International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. ,vol. 02, pp. 167- 196 ,(1994) , 10.1142/S0218488594000146