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A survey on hesitant fuzzy linear programming: models and methods

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  • Xu, Yejun
  • Sun, Chengjun
  • Xiao, Yi

Abstract

A review of hesitant fuzzy linear programming (HFLP), including the models and solution approaches presented in previous research, is proposed in this paper. We first introduce some common concepts and trace development process of fuzzy programming and hesitant fuzzy programming. Then we review HFLP models, which will be divided into five types: HFLP with hesitant fuzzy cost coefficients, HFLP with hesitant fuzzy flexible objective and right-hand-side values, HFLP with hesitant fuzzy flexible right-hand-side values, HFLP with fully hesitant fuzzy coefficients and HFLP with hesitant fuzzy right-hand-side values and decision variables. The discussion of these models’ characteristics and detail solution approaches of different HFLP types are the key part of this paper. After surveying the existing application area of hesitant fuzzy programming, we also proposed some new directions for HFLP research.

Suggested Citation

  • Xu, Yejun & Sun, Chengjun & Xiao, Yi, 2026. "A survey on hesitant fuzzy linear programming: models and methods," Operations Research Perspectives, Elsevier, vol. 16(C).
    • Handle: RePEc:eee:oprepe:v:16:y:2026:i:c:s2214716026000114
    DOI: 10.1016/j.orp.2026.100387
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