Fuzzy distance of trapezoidal fuzzy numbers and application

International Journal of Innovative Computing, Information and Control

Volumn 4, Issue 6, 2008, Pages 1445-1454

  Chen, Shanhuo ^a   Wang, Chienchung ^b  

^a CHING YUN UNIVERSITY   (Taiwan)

^b NATIONAL DEFENSE UNIVERSITY   (Taiwan)

Author keywords

Fuzzy distance; Fuzzy number; Graded mean integration ranking; Graded mean integration representation

Indexed keywords

EID: 48249100064     PISSN: 13494198     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. I. Bloch, On fuzzy distances and their use in image processing under imprecision, Pattern Recognition, vol.32, pp.1873-1895, 1999.
2. C. Chakraborty and D. Chakraborty, A theoretical development on a fuzzy distance measure for fuzzy numbers, Mathematical and Computer Modeling, vol.43, pp.254-261, 2006.
3. S. H. Chen, Operations on fuzzy numbers with function principle, Tamkang Journal of Management Sciences, vol.6, no.1, pp.13-25, Taiwan, 1985.
4. S. H. Chen and C. H. Hsieh, Graded mean integration representation of generalized fuzzy number, Proc. of the TFSA, 1998.
5. S. H. Chen and C. H. Hsieh, Ranking generalized fuzzy number with graded mean integration representation, Proc. of the Eighth International Fuzzy Systems Association Word Congress, vol.2. pp.551-555, Taiwan, 1998.
6. S. H. Chen and C. H. Hsieh, Graded mean integration representation of generalized fuzzy number, Journal of the Chinese Fuzzy System Association, vol.5, no.2, pp.1-7, 1999.
7. S. H. Chen and C. H. Hsieh, Representation, ranking, distance, and similarity of L-R type fuzzy number and application, Australia Journal of Intelligent Information Processing Systems, vol.6, no.4, pp.217-229, 2000.
8. S. H. Chen and C. C. Wang, Fuzzy distance of trapezoidal fuzzy numbers, Proc. of the 9th Joint Conference on Information Sciences, pp.1113-1116, 2006.
9. S. H. Chen, C. C. Wang and S. M. Chang, Fuzzy economic production quantity model for items with imperfect quality, International Journal of Innovative Computing, Information and Control, vol.3,no.1,pp.85-95, 2007.
10. T. Y. Chen, Using a distance between fuzzy-valued fuzzy measures to determine attribute importance: an outcome-oriented perspective, International Journal of Fuzzy systems, vol.8, no.3, pp.127-136, 2006.
11. D. Dubois and H. Prade, Operation on fuzzy numbers, International Journal of Systems Science, vol.9, pp.613-626, 1978.
12. S. Heilpern, Representation and application of fuzzy numbers, Fuzzy Sets and Systems, vol.91, no.2, pp.259-268, 1997.
13. C. H. Hsieh and S. H. Chen, Graded mean representation distance of generalized fuzzy number, Proc. of the Sixth Conference on Fuzzy Theory and Its Applications, CD-ROM, no.032.wdl, pp.1-5, Chinese Fuzzy Systems Association, Taiwan, 1998.
14. A. Kaufmann and M. M. Gupta, Introduction to Fuzzy Arithmetic Theory and Applications, Van Nostrand Reinhold, 1991.
15. X. Liu, Entropy, distance measure and similarity measure of fuzzy sets and their relations, Fuzzy Sets and Systems, vol.52, no.3, pp.305-318, 1992.
16. W. Pedrycz, Collaborative and knowledge-based fuzzy clustering, International Journal of Innovative Computing, Information and Control, vol.3, no.1, pp.1-12, 2007.
17. P. K. Saha, F. W. Wehrli and B. R. Gomberg, Fuzzy distance transform: Theory, algorithms and applications, Computer Vision and Image Understanding, vol.86, pp.171-190, 2002.
18. L. Tran and L. Duckstein, Comparison of fuzzy numbers using fuzzy distance measure, Fuzzy Sets and Systems, vol.130, pp.231-341, 2002.
19. W. Voxman, Some remarks on distances between fuzzy numbers, Fuzzy Sets and Systems, vol.100, pp.353-365, 1998.
20. L. A. Zadeh, Fuzzy set, Information and Control, vol.8, pp.338-353, 1965.