Generalized Fuzzy Technique and Its Consistent Assessment in Multi-criteria Decision Making of Medical Decisions

Abstract

Abstract Multi-criteria decision making (MCDM) is introduced using trapezoidal vague numbers (TVNs) in medicine. Initially concepts of centroid and signed distance are generalized for TVNs. We also provide some desirable properties of the proposed distance measure. The decision making involves the medical diagnostic problem to reduce the vagueness and non-specificity from its environment. In this MCDM, each symptom is classified into some criteria. States of the patients, weights for the existing symptoms are assumed as vague point entries and relations of symptom criteria and diseases are considered using trapezoidal vague number entries. The usefulness of the developed approach is when it shows its capability and validity of the delivery. A numerical computation is illustrated with the whole procedure of the decision making. To show the capability and distinctness of the proposed methodology, a comparative discussion for outcomes is given with pre existing method. Present method coincides with existing fuzzy based method for the initial diagnosis while possibility differences for patient P1 and patient P2 range from 1–16.3% by the method based on existing traditionally fuzzy approach and in present approach these differences range from 2.15–7.46%. In the present approach, addition to the membership, another function called non membership is taken that contributes the upper bound of membership. Between these two memberships the hesitation part is dealt sophisticatedly. Also consideration of trapezoidal vague number as membership grade than the point estimation handles the blur cloud of association effectively.