Sustainable method for tender selection using linear Diophantine multi-fuzzy soft set

Abstract

Tender selection is a fundamental issue for the success of construction projects since it contributes to the overall outline’s performance. In reallife problems, the decision-makers cannot express certain crisp data, so there is uncertainty and vagueness in the values. In this paper, a sustainable technique is proposed to find desirable tenderers coherently and fairly under the needed circumstances. This paper presents three methods of an algorithmic approach to evaluate the tendering process and rank the tenderers. The attributes are expressed as Linear Diophantine Multi-Fuzzy Soft numbers (LDMFSN) since the existence of reference parameters makes the DM freely choose their grade values. Some of the rudimentary properties of LDMFSN are presented. An illustrative example is demonstrated to validate our proposed method. The uniqueness of the result in all three algorithms shows the effectiveness of our proposed approach.