A note on the inverse fuzzy integrated judgment

Shih Chuan Cheng

doi:10.1109/NAFIPS.2009.5156418

A note on the inverse fuzzy integrated judgment

Shih Chuan Cheng

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

An application of fuzzy dynamic integrated judgment in cotton allocation can be found in Zhao, Peng, and Cheng [4]. Often applications in which the fuzzy integrated judgment has been successfully used were turned out to be quite effective. How to decide a fuzzy weight set is an inverse operation of fuzzy integrated judgment. Nonetheless, the fuzzy weight set that stands for the experience and the technology of experts plays a crucial role in applying the fuzzy integrated judgment. The success of fuzzy integrated judgment depends upon the choice of fuzzy weight set. Thus, an inverse process of fuzzy integrated judgment is an important practice; especially, in cotton allocation problem. Under certain conditions, the original image Ã (as a fuzzy weight set) is an important feasible solution to the fuzzy relation equation B̃ = Ã o R̃. However, it is necessary to use the original image Ã as a fuzzy weight set unconditionally in some practical applications of fuzzy integrated judgment. Therefore, it is very crucial to create a practical approach of obtaining the optimal fuzzy weight set for building a model of fuzzy dynamic integrated judgment regardless of the existence of the exact original image.

Original language	English (US)
Title of host publication	NAFIPS 2009 - 2009 Annual Meeting of the North American Fuzzy Information Processing Society
DOIs	https://doi.org/10.1109/NAFIPS.2009.5156418
State	Published - Nov 11 2009
Event	2009 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS 2009 - Cincinnati, OH, United States Duration: Jun 14 2009 → Jun 17 2009

Publication series

Name	Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS

Other

Other	2009 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS 2009
Country	United States
City	Cincinnati, OH
Period	6/14/09 → 6/17/09

All Science Journal Classification (ASJC) codes

Computer Science(all)
Mathematics(all)

Access to Document

10.1109/NAFIPS.2009.5156418

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Cheng, S. C. (2009). A note on the inverse fuzzy integrated judgment. In NAFIPS 2009 - 2009 Annual Meeting of the North American Fuzzy Information Processing Society [5156418] (Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS). https://doi.org/10.1109/NAFIPS.2009.5156418

Cheng, SC 2009, A note on the inverse fuzzy integrated judgment. in NAFIPS 2009 - 2009 Annual Meeting of the North American Fuzzy Information Processing Society., 5156418, Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS, 2009 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS 2009, Cincinnati, OH, United States, 6/14/09. https://doi.org/10.1109/NAFIPS.2009.5156418

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abstract = "An application of fuzzy dynamic integrated judgment in cotton allocation can be found in Zhao, Peng, and Cheng [4]. Often applications in which the fuzzy integrated judgment has been successfully used were turned out to be quite effective. How to decide a fuzzy weight set is an inverse operation of fuzzy integrated judgment. Nonetheless, the fuzzy weight set that stands for the experience and the technology of experts plays a crucial role in applying the fuzzy integrated judgment. The success of fuzzy integrated judgment depends upon the choice of fuzzy weight set. Thus, an inverse process of fuzzy integrated judgment is an important practice; especially, in cotton allocation problem. Under certain conditions, the original image {\~A} (as a fuzzy weight set) is an important feasible solution to the fuzzy relation equation {\~B} = {\~A} o {\~R}. However, it is necessary to use the original image {\~A} as a fuzzy weight set unconditionally in some practical applications of fuzzy integrated judgment. Therefore, it is very crucial to create a practical approach of obtaining the optimal fuzzy weight set for building a model of fuzzy dynamic integrated judgment regardless of the existence of the exact original image.",

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