Mehar Interval-Valued Intuitionistic Fuzzy Multi-Attribute Decision-Making Method without Using the Concept of Connection Number

This article is a study of the Kumar and Garg’s (Computational and Applied Mathematics, (2018) 37(2):13191329) existing interval-valued intuitionistic fuzzy multiattribute decision-making (IVIFMADM) method for solving IVIFMADM problems using set pair analysis (SPA) theory that involves certainty and uncertainty in the present data as one system together, that gives a numeric value as a connection number (CoN) with three elements as-identity, discrepancy, and contrary. During the study, a certain restriction is deciphered in the existing IVIFMADM approach that interferes with a justifiable conclusion. To validate this claim, an IVIFMADM problem is determined by the existing IVIFMADM method which appears weak to rank the considered options. To overcome this restriction a new Mehar IVIFMADM method is suggested for evaluating IVIFMADM problems without using the concept of CoN. In the investment sector, there is a risk of huge loss in terms of money and kind, if a proper risk assessment has not been made, so it is found that the existing IVIFMADM method using SPA theory would mislead optimal solution, so the present problem has been evaluated by the suggested method which gives a valid, more scientific and reasonable solution. Moreover, the main advantage of the suggested Mehar IVIFMADM method over the existing IVIFMADM approach is that, it is less time-consuming, reduces the computational efforts, and also gives an insight that a CoN is an intuitionistic number only and the conversion is tedious can be omitted, and lastly, the validity of the method and solutions are claimed.