N-Bipolar Soft Expert Sets and Their Applications in Robust Multi-Attribute Group Decision-Making

Sagvan Y. Musa, Amlak I. Alajlan (), Baravan A. Asaad and Zanyar A. Ameen ()
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Sagvan Y. Musa: Department of Mathematics, College of Education, University of Zakho, Zakho 42002, Iraq
Amlak I. Alajlan: Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia
Baravan A. Asaad: Department of Mathematics, College of Science, University of Zakho, Zakho 42002, Iraq
Zanyar A. Ameen: Department of Mathematics, College of Science, University of Duhok, Duhok 42001, Iraq

Mathematics, 2025, vol. 13, issue 3, 1-30

Abstract: This paper presents N-bipolar soft expert (N-BSE) sets, a novel framework designed to enhance multi-attribute group decision-making (MAGDM) by incorporating expert input, bipolarity, and non-binary evaluations. Existing MAGDM approaches often lack the ability to simultaneously integrate positive and negative assessments, especially in nuanced, multi-valued evaluation spaces. The proposed N-BSE model addresses this limitation by offering a comprehensive, mathematically rigorous structure for decision-making (DM). Fundamental operations of the N-BSE model are defined and analyzed, ensuring its theoretical consistency and applicability. To demonstrate its practical utility, the N-BSE model is applied to a general case study on sustainable energy solutions, illustrating its effectiveness in handling complex DM scenarios. An algorithm is proposed to streamline the DM process, enabling systematic and transparent identification of optimal alternatives. Additionally, a comparative analysis emphasizes the advantages of the N-BSE model over existing MAGDM frameworks, highlighting its capacity to integrate diverse expert opinions, evaluate both positive and negative attributes, and support multi-valued assessments. By bridging the gap between theoretical development and practical application, this paper contributes to advancing DM methodologies.

Keywords: N-bipolar soft expert sets; N-bipolar soft sets; N-soft sets; soft expert sets; decision making; environmental sustainability; MAGDM (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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