Interval-valued fuzzy relation-based clustering with its application to performance evaluation

Computers and Mathematics with Applications

Volumn 57, Issue 5, 2009, Pages 841-849

  Guh, Yuh Yuan ^a   Yang, Miin Shen ^a   Po, Rung Wei ^b   Lee, E Stanley ^c  

^a CHUNG YUAN CHRISTIAN UNIVERSITY   (Taiwan)

^b NATIONAL TSING HUA UNIVERSITY   (Taiwan)

^c Sunflower Networking Group   (United States)

Author keywords

Cluster analysis; Fuzzy sets; Fuzzy similarity relation; Hierarchical evaluation structure; Interval valued fuzzy set; Performance evaluation

Indexed keywords

CLUSTER ANALYSIS; FUZZY SETS; NEURAL NETWORKS;

DECISION MAKER (DM); ENGINEERING SCHOOLS; FUZZY SIMILARITY RELATION; HIERARCHICAL EVALUATION STRUCTURE; HUMAN PERCEPTIONS; INTERVAL-VALUED; INTERVAL-VALUED FUZZY SET; MEMBERSHIP VALUES; PARTITION TREE; PERFORMANCE EVALUATION; RELATION MATRICES; SIMILARITY RELATIONS;

FUZZY CLUSTERING;

EID: 58749101668     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2008.09.054     Document Type: Article

References (23)

1. Bellman R., Kalaba R.L., and Zadeh L.A. Abstraction and pattern classification. J. Math. Anal. Appl. 2 (1966) 581-585
2. Ruspini E.H. A new approach to clustering. Inform. Control 15 (1969) 22-32
3. Zadeh L.A. Fuzzy sets. Inform. Control 8 (1965) 338-353
4. Bezdek J.C. Pattern Recognition with Fuzzy Objective Function Algorithms (1981), Plenum, New York
5. Yang M.S. A survey of fuzzy clustering. Math. Comput. Modeling 18 (1993) 1-16
6. Hoppner F., Klawonn F., Kruse R., and Runkler T. Fuzzy Cluster Analysis: Methods for Classification Data Analysis and Image Recognition (1999), Wiley, New York
7. Baraldi A., and Blonda P. A survey of fuzzy clustering algorithms for pattern recognition-part I and II. IEEE Trans. Syst. Man Cybernet. Part B 29 (1999) 778-801
8. Lee H.S. Automatic clustering of business process in business systems planning. European J. Oper. Res. 114 (1999) 354-362
9. Yu J., and Yang M.S. Optimality test for generalized FCM and its application to parameter selection. IEEE Trans. Fuzzy Systems 13 (2005) 164-176
10. Zadeh L.A. Similarity relations and fuzzy ordering. Inform. Sci. 3 (1971) 177-200
11. Tamura E., Figuchi S., and Tanaka K. Pattern classification based on fuzzy relations. IEEE Trans. Systems Man Cybernet. 1 (1971) 61-66
12. Dunn J.C. A graph theoretic analysis for pattern classification via Tamura's fuzzy relation. IEEE Trans. Systems Man Cybernet. 4 (1974) 310-313
13. Yang M.S., and Shih H.M. Cluster analysis based on fuzzy relations. Fuzzy Sets and Systems 120 (2001) 197-212
14. Guh Y.Y., Yang M.S., Po R.W., and Lee E.S. Establishing performance evaluation structures by fuzzy relation-based cluster analysis. Comput. Math. Appl. 56 (2008) 572-582
15. Zimmermann H.J. Fuzzy Set Theory and its Applications (1991), Kluwer, Dordrecht
16. Klir G.J., and Folger T.A. Fuzzy Sets, Uncertainty, and Information (1988), Prentice-Hall, London
17. R. Sambuc, Fonctions Φ-Floues, Application a l'aide au diagnostic en pathologie thyroidienne, Ph.D. Thesis, Univ. Marseille, France, 1975
18. Zadeh L.A. The concept of a linguistic variable and its application to approximate reasoning, Part I. Inform. Sci. 8 (1975) 199-249
19. Cornelis C., Deschrijver G., and Kerre E.E. Advances and challenges in interval-valued fuzzy logic. Fuzzy Sets and Systems 157 (2006) 622-627
20. Atanassov K. Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20 (1986) 87-96
21. Gau W.L., and Buehrer D.J. Vague sets. IEEE Trans. Systems Man Cybernet. 23 2 (1993) 610-614
22. Moore R.M. Methods and Applications of Interval Analysis (1979), SIAM, Philadelphia
23. Tamura E., Figuchi S., and Tanaka K. Pattern classification based on fuzzy relations. IEEE Trans. Systems Man Cybernet. 1 (1971) 61-66