A Novel Approach for Characterizing Solutions of Rough Optimization Problems Based on Boundary Region

被引:0
作者
Khalifa, Hamiden Abd El-Wahed [1 ,2 ]
Pamucar, Dragan [3 ]
Kacem, Amina Hadj [4 ]
Afifi, W. A. [4 ,5 ]
机构
[1] Cairo Univ, Fac Grad Studies Stat Res, Dept Operat Res, Giza 12613, Egypt
[2] Qassim Univ, Coll Sci & Arts, Dept Math, Al Badaya, Saudi Arabia
[3] Univ Def Belgrade, Dept Logist, Belgrade 192204, Serbia
[4] Taibah Univ, Coll Sci, Math & Stat Dept, Yanbu, Saudi Arabia
[5] Tanta Univ, Fac Sci, Dept Math, Tanta, Egypt
关键词
Compendex;
D O I
10.1155/2022/8662289
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Rough set theory, presented by Pawlak in 1981, is one of the most well-known methods for communicating ambiguity by estimating an item based on some knowledge rather than membership. The concept of a rough function and its convexity and differentiability in regard to its boundary region are discussed in this work. The boundary notion is also used to present a new form of rough programming issue and its solutions. Finally, numerical examples are provided to demonstrate the proposed method and emphasize its advantages over other approaches.
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页数:12
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