Semistrictly Convex Fuzzy Mappings |
Received:June 06, 2008 Revised:July 07, 2008 |
Key Words:
convexity strict convexity semistrict convexity lower semicontinuity fuzzy mapping.
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Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10271035) and the Scientific Research Foundation Project of Inner Mongolian Education Department (Grant No.NJ06088). |
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Abstract: |
In this paper, a new class of fuzzy mappings called semistrictly convex fuzzy mappings is introduced and we present some properties of this kind of fuzzy mappings. In particular, we prove that a local minimum of a semistrictly convex fuzzy mapping is also a global minimum. We also discuss the relations among convexity, strict convexity and semistrict convexity of fuzzy mapping, and give several sufficient conditions for convexity and semistrict convexity. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2010.04.001 |
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