MCDM was established to deal with various types of applications of daily life and is considered as a valuable tool that can be applied to many complex decision-making problems. With the inception of the new techniques and approaches in MCDM to achieve an optimal solution, methods like TOPSIS, AHP, ANP, COMET, etc. were developed and modi?ed. Such methods adopt di/erent approaches to the use of TFNs, GFNs, trapezoidal fuzzy numbers, HFNs etc. for decision-making. Sometimes these methods and approaches of MCDM produce results that may be questionable, uncertain and unpredictable. Also, such approaches disregard the concerns of vagueness, ambiguity and rank reversal paradox. On the other hand, these concerns are of fundamental nature and act as challenges in MCDM methods. COMET was designed to counter uncertainty and vagueness while dealing with problems of MCDM. The COMET method is basically immune to the pivotal challenge of rank reversal paradox, but yet classical COMET has not been designed for uncertain and decisional problems. In this research e/ort IVTFNs and IVIFNs are used for the purpose of decision making with COMET method for ranking of alternatives in a more suitable way in the presence of vagueness and uncertainty which are basically the extensions of the classical COMET method. Furthermore, a comparative analysis will be carried out to compare the solution of the proposed method with the result as obtained in TOPSIS method