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

Hamiden Abd ElWahed Khalifa | Zendy; Dragan Pamučar | Zendy; Amina Hadj Kacem | Zendy; W. A. Afifi | Zendy

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

Author(s) -

Hamiden Abd ElWahed Khalifa,

Dragan Pamučar,

Amina Hadj Kacem,

W. A. Afifi

Publication year - 2022

Publication title -

computational intelligence and neuroscience

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.605

H-Index - 52

eISSN - 1687-5273

pISSN - 1687-5265

DOI - 10.1155/2022/8662289

Subject(s) - rough set , ambiguity , boundary (topology) , convexity , computer science , differentiable function , function (biology) , set (abstract data type) , mathematical optimization , work (physics) , mathematics , algorithm , artificial intelligence , mathematical analysis , mechanical engineering , evolutionary biology , financial economics , engineering , economics , biology , programming language

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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