Abstract
Partnership selection is an important issue in management science. This study proposes a general model based on mixed integer programming and goal-programming analytic hierarchy process (GP-AHP) to solve partnership selection problems involving mixed types of uncertain or inconsistent preferences. The proposed approach is designed to deal with crisp, interval, step, fuzzy, or mixed comparison preferences, derive crisp priorities, and improve multiple solution problems. The degree of fulfillment of a decision maker’s preferences is also taken into account. The results show that the proposed approach keeps more solution ratios within the given preferred intervals and yields less deviation. In addition, the proposed approach can treat incomplete preference matrices with flexibility in reducing the number of pairwise comparisons required and can also be conveniently developed into a decision support system.
Highlights
Partnership selection is an important issue in management science
Mikhailov [1] proposed a new Fuzzy Preference Programming (FPP) method based on interval pairwise comparison judgments and used the Analytic Hierarchy Process (AHP) method to derive global priorities for all possible alternatives
This study aims to develop a general model based on mixed integer programming and goal-programming analytic hierarchy process (GP-AHP) to solve partnership selection problems involving uncertain or inconsistent preferences
Summary
Partnership selection is an important issue in management science. The partnership selection problem can be formulated as a multiple criteria decision making problem [1]. Mikhailov [1] proposed a new Fuzzy Preference Programming (FPP) method based on interval pairwise comparison judgments and used the AHP method to derive global priorities for all possible alternatives. The FPP method may yield multiple solution problems resulting in various ranking for partner selection This method is unable to treat judgments with step preferences in which the degree of fulfillment is constant over the same step. This study aims to develop a general model based on mixed integer programming and GP-AHP to solve partnership selection problems involving uncertain or inconsistent preferences. The proposed approach is designed to deal with crisp, interval, step, fuzzy, or mixed types of uncertain preferences, derive crisp priorities, and improve multiple solution problems.
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