A theoretical development on a fuzzy distance measure for fuzzy numbers

Mathematical and Computer Modelling

Volumn 43, Issue 3-4, 2006, Pages 254-261

  Chakraborty, Chandan ^a   Chakraborty, Debjani ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Ambiguity; Fuzziness; Fuzzy distance; Generalized fuzzy number; Interval arithmetic; LR type fuzzy number; Metric

Indexed keywords

DISTANCE MEASUREMENT; NUMERICAL METHODS; PROBLEM SOLVING;

AMBIGUITY; FUZZINESS; FUZZY DISTANCE; GENERALIZED FUZZY NUMBER; INTERVAL ARITHMETIC; LR-TYPE FUZZY NUMBER; METRIC;

FUZZY CONTROL;

EID: 33644666784     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2005.09.025     Document Type: Article

References (14)

1. C. Chakraborty, and D. Chakraborty A decision scheme based on OWA for an evaluation programme: an approximate reasoning approach International Journal of Applied Soft Computing 5 2004 45 53
2. C.-H. Cheng A new approach for ranking fuzzy numbers by distance method Fuzzy Sets and Systems 95 3 1998
3. D. Chakraborty Structural quantization of vagueness in linguistic expert opinions in an evaluation programme Fuzzy Sets and Systems 119 2001 171 186
4. D. Dutta Majumdar, and S.K. Pal A Fuzzy Mathematical Approach to Pattern Recognition 1987 John Wiley & Sons
5. G. Klir, and T. Folger Fuzzy Sets, Uncertainty and Information 1988 Prentice-Hall Englewood Cliffs, NJ
6. L. Tran, and L. Duckstein Comparison of fuzzy numbers using a fuzzy distance measure Fuzzy Sets and Systems 130 3 2002 331 341
7. L.A. Zadeh Fuzzy sets Information and Control 8 1965 338 353
8. M. Delgado, A. Vila, and W. Voxman On a canonical representation of fuzzy numbers Fuzzy Sets and Systems 93 1998 125 135
9. M. Delgado, A. Vila, and W. Voxman On a canonical representation of fuzzy numbers Applications Systems 94 1998 205 216
10. P. Diamond Fuzzy least squares Information Sciences 46 1988 141 157
11. R. Xu, and C. Li Multidimensional least-squares fitting with a fuzzy model Fuzzy Sets and Systems 119 2001 215 223
12. W. Voxman Some remarks on distances between fuzzy numbers Fuzzy Sets and Systems 100 1998 353 365
13. K. Yang On cluster-wise fuzzy regression analysis IEEE Transaction on Systems, Man and Cybernetics B 27 1997
14. H.J. Zimmermann Fuzzy Set Theory and its Applications 2001 Kluwer Academic Publishers