Solving multi-objective programming problem through Bi-phase modified VIKOR method in hesitant fuzzy environment

A multi-objective linear programming problem addresses the complexities that arise in most practical decision-making scenarios. Such problems are crucial in various practical applications where multiple conflicting objectives must be optimized simultaneously. However, traditional optimization method...

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Bibliographic Details
Published in:Life cycle reliability and safety engineering Vol. 14; no. 4; pp. 561 - 572
Main Authors: Bharti, Apurwa, Mishra, Babita
Format: Journal Article
Language:English
Published: Singapore Springer Nature Singapore 01.12.2025
Springer Nature B.V
Subjects:
Agricultural production
Civil Engineering
Decision making
Effectiveness
Engineering
Expected values
Fuzzy set theory
Fuzzy sets
Linear programming
Literature reviews
Mathematical programming
Mechanical Engineering
Methodology
Methods
Multiple criteria decision making
Multiple criterion
Multiple objective analysis
Optimization
Original Research
Production planning
Quality Control
Reliability
Safety and Risk
Set theory
Uncertainty
Bi-phase modified VIKOR
MOLPP
Hesitant fuzzy set
Aggregating operators
ISSN:2520-1352, 2520-1360
Online Access:Get full text
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Summary:A multi-objective linear programming problem addresses the complexities that arise in most practical decision-making scenarios. Such problems are crucial in various practical applications where multiple conflicting objectives must be optimized simultaneously. However, traditional optimization methods struggle to effectively manage uncertainty and vagueness. To address these shortcomings, hesitant fuzzy set theory was introduced. This theory allows decision-makers to express the uncertainty about the exact belongingness of an element in a set, accommodating imprecision and ambiguity. Additionally, the VIKOR method, which is a well-established multi-criteria decision-making technique, that has been used to identify a compromise solution among multiple conflicting objectives. In this study, we propose a bi-phase modified VIKOR method to solve multi-objective programming problems within hesitant fuzzy environment. The applicability and effectiveness of the developed methodology are demonstrated with a popular production planning problem. To validate results, the outcomes of the proposed methodology are compared with the various existing methods, highlighting the robustness and efficacy of the developed methodology.
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ISSN:2520-1352
2520-1360
DOI:10.1007/s41872-025-00312-x