A modified approach for solving a fuzzy multi-objective programming problem

Tarabia, A. M. K.; Kassem, Mohamed Abd El-Hady; El-Badry, Noha M.

doi:10.1186/s40535-016-0029-7

Cited by 13 publications

(1 citation statement)

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“…Charnes and Cooper [ 7 ] presented a survey on recent development of goal programming and multiple objective optimization problems that incudes goal and interval programming with some definitions and examples of goal functionals. Recently, various computational algorithms have been developed based on various types of optimization techniques, for example Cheng [ 8 ], Tarabia [ 34 ], Brikaa [ 6 ], Wu [ 39 ], Uddin [ 36 ] and Yang [ 42 ]. Shih et al [ 32 ] presented a method to find optimal solution of multiobjective programming in interval-valued fuzzy environment where crisp multiobjective programming was converted into an interval-valued fuzzy programming using interval-valued fuzzy membership functions for each crisp inequalities.…”

Section: Literature Reviewmentioning

confidence: 99%

An Interval-Valued Intuitionistic Hesitant Fuzzy Methodology and Application

Bharati

2021

New Gener. Comput.

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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.

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