Pseudolinear fuzzy mappings |
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| Authors: | SK Mishra SY Wang KK Lai |
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| Institution: | 1. Department of Mathematics, Statistics and Computer Science College of Basic Sciences and Humanities, G.B. Pant University of Agriculture and Technology, Pantnagar, India;2. Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Humanities, Beijing, China;3. Department of Management Sciences, City University of Hong Kong, 83-Tat Chee Avenue, Kowloon, Hong Kong |
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| Abstract: | Two classes of fuzzy mappings, called pseudolinear and η-pseudolinear fuzzy mappings are introduced by relaxing the definitions of pseudo-convex and pseudo-invex fuzzy mappings. First, some characterizations of pseudolinear and η-pseudolinear fuzzy mappings are obtained. Then, characterizations of the solution sets of pseudolinear and η-pseudolinear fuzzy programs are derived. |
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| Keywords: | Fuzzy numbers Convex fuzzy mappings Pseudolinear fuzzy mappings |
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