Name
Title | ||
|---|---|---|
Fuzzy metric based on the distance function of plane and its application in optimal scheduling problems |
Abstract | ||
|---|---|---|
Measuring the difference between fuzzy numbers is often needed in many fuzzy optimization problems such as manufacturing system production line scheduling with uncertainty environments. In this paper, based on the distance function of plane R-2 and the level importance function, we establish the UID-metric and LPID-metric of measuring the difference between fuzzy numbers, and discuss the basic properties of UID-metric and LPID-metric, and prove that fuzzy number spaces are metric spaces about UID-metric and LPID-metric if and only if the level importance function I(lambda) not equal 0 almost everywhere on [0, 1]. Further, we discuss the convergence, separability and completeness of UID-metric and LPID-metric based on the norms of plane R-2. Finally, we analyze the characteristics of UID-metric and LPID-metric by some application examples. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1360/03yf9018 | SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES |
Keywords | Field | DocType |
fuzzy numbers,importance function,UID-metric,LPID-metric,fuzzy optimization | T-norm,Mathematical optimization,Fuzzy classification,Defuzzification,Fuzzy set operations,Fuzzy mathematics,Fuzzy transportation,Fuzzy number,Membership function,Mathematics | Journal |
Volume | Issue | ISSN |
46 | 3 | 1009-2757 |
Citations | PageRank | References |
2 | 0.40 | 1 |
Authors | ||
3 | ||