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. 2021;39(2):377-407.
doi: 10.1007/s00354-021-00132-4. Epub 2021 Aug 10.

An Interval-Valued Intuitionistic Hesitant Fuzzy Methodology and Application

Shailendra Kumar Bharati  1
Affiliations

An Interval-Valued Intuitionistic Hesitant Fuzzy Methodology and Application

Shailendra Kumar Bharati. New Gener Comput. 2021.

Abstract

Using advantages of interval-valued intuitionistic hesitant fuzzy sets (IVIHFS) for describing the hesitant and intuitionistic decisions of experts and identifying the limitations of previous research works about optimization techniques, this paper introduces a new optimization technique and provides a new computational algorithm, applicable in various real life multiobjective optimization problem (MOOP) of engineering and management sectors, and for this, a new operation between IVIHFSs is first introduced. On the basis of this concept, a stepwise computational algorithm is constructed, and it is an extension of both fuzzy and intuitionistic fuzzy optimization techniques. Finally, the proposed algorithm is illustrated using a production planning problem, and the obtained results are compared with the existing optimization techniques.

Keywords: Fuzzy sets; Hesitant fuzzy sets; Linear programming; Multiple objective; Uncertainty and hesitation.

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Conflict of interest statement

Conflict of InterestAuthor of this paper declare that I have no conflict of interest.

Figures

Fig. 1
Fig. 1
Hesitant interval-valued membership functions
Fig. 2
Fig. 2
Hesitant interval-valued non membership functions
Fig. 3
Fig. 3
Hesitant interval-valued intuitionistic fuzzy function
Fig. 4
Fig. 4
Lower and upper membership and nonmembership degrees
Fig. 5
Fig. 5
Comparison of results
Fig. 6
Fig. 6
Comparison of sum of objective value
See this image and copyright information in PMC

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