Plithogenic Forest Hypersoft Sets in Plithogenic Contradiction Based Multi-Criteria Decision Making

Abstract

Plithogenic based decision making approaches are more versatile and accommodative with regard to attribute handling This paper introduces the concepts of Plithogenic Forest hypersoft set (PFHS) and develops a Plithogenic centered decision-making model with PFHS representations. The Plithogenic method of devising decisions based on contradictions is integrated with the newly introduced representations of PFHS to develop a robust decision-making technique to deal with attributes and sub-attributive values at a larger scale. The integrated method proposed in this work is applied to a decision-making problem of site selection for establishing manufacturing plants. The core attributes are identified and the respective Plithogenic forest hypersoft sets are constructed with the possible sub-attributes. In this case, each of the core attributes itself forms a Plithogenic tree hypersoft set representations with several sub-attribute values, the alternatives are subjected to each of the criteria to determine the optimal ranking in specific to the criteria. Also, aggregate score values are determined to obtain a more comprehensive ranking. The concept of PFHS shall be integrated with other decision-making methods to evolve novel methods of decision-making.