Semistrictly Convex Fuzzy Mappings
Received:June 06, 2008  Revised:July 07, 2008
Key Words: convexity   strict convexity   semistrict convexity   lower semicontinuity   fuzzy mapping.  
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).
Author NameAffiliation
Yu E BAO College of Mathematics, Inner Mongolia University for the Nationalities, Neimongolia $028043$, P. R. China 
Cong Xin WU Department of Mathematics, Harbin Institute of Technology, Heilongjiang $150001$, P. R. China 
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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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