Second order duality in fuzzy mathematical programming with fuzzy coefficients

B. Kheirfam ()
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B. Kheirfam: Azarbaijan Shahid Madani University

Fuzzy Information and Engineering, 2013, vol. 5, issue 2, 147-158

Abstract: Abstract In this paper, the concept of second order convexity of fuzzy mappings with fuzzy order relation under ranking function is used to formulate a second order duality for fuzzy mathematical programming problems with fuzzy coefficients, where all the fuzzy mappings are twice differentiable. Also, Wolfe’s dual of these problems under ranking function is investigated, and finally, an advantage of second order duality with respect to first order duality is stated.

Keywords: Convex fuzzy mapping; Second order convexity; Wolfe’s dual; Fuzzy mathematical programming (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s12543-013-0141-5

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