Generalized uni–int decision making schemes based on choice value soft sets

This paper aims to improve and further extend Çağman and Enginoğlu’s uni–int decision making method. We first define choice value soft sets and k-satisfaction relations. Using these new notions, we give deeper insights into the principle of uni–int decision making and show its limitations. We then propose several new soft decision making schemes, including the uni–intk, uni–intst and intm − intn decision making methods. We show that classical uni–int   decision making is a special case of the uni–intst decision making method. Furthermore, we present a new decision scheme based on intm − intn decision making, which substantially improves the classical uni–int decision making approach.

► We improve and further extend the uni–int decision making method recently published in EJOR. ► Limitations of uni–int decision making are shown by counter examples. ► Based on choice value soft sets and satisfaction relations, the essence of uni–int decision making is explored and new decision schemes are proposed. ► Validity of new methods and notions are supported by mathematical propositions and illustrative examples.