Rough posynomial geometric programming

Bing-yuan Cao ()
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Bing-yuan Cao: Guangzhou University, Guangzhou Higher Education Mega Center

Fuzzy Information and Engineering, 2009, vol. 1, issue 1, 37-57

Abstract: Abstract A rough posynomial geometric programming is put forward by the author. This model is advantageous for us to consider questions not only from the quantity of aspect, but from the quality because it contains more information than a traditional geometric programming one. Here, a rough convex function concept is advanced in rough value sets on foundation of rough sets and rough convex sets. Besides, a knowledge expression model in rough posynomial geometric programming is established and so is a mathematical one. Thirdly, solution properties are studied in mathematical model of rough posynomial geometric programming, and antinomy of the more-for-less paradox is solved with an arithmetic in rough posynomial geometric programming given, which can be changed into a rough linear programming after monomial rough posynomial geometric programming is solved. Finally, validity in model and algorithm is verified by examples.

Keywords: Rough set; Posynomial; Geometric programming; Rough number; Antinomy; Satisfactory solution (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/s12543-009-0003-3

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