Vector-Based Unification of Necessary Criteria from Different Sets in Multi-Criteria Decision Making

Discrete Mathematics is a field that is ever-present in the daily lives of people solely from the fact that it deals with logical and sound-reasoning that is desirable for any action or decision. A branch of logic – Propositional Logic – is utilized to codify statements into propositions that are either true or false, and to infer other statements from what is known. Fuzzy Logic considers that not every proposition can be merely true or false; rather, such can have degrees of being reasonably true. It is used in Multi-Class Decision Making (MCDM) in various industries with specific implementations. This manuscript proposes an applied method for the unification of the atoms and propositions of compound propositions, for the unification of different sets of criteria that are necessarily satisfactory, through the integration of vector representations and operations under Linear Algebra. A C program implementing the proposed method is also developed, tested and verified to combine the criteria of the principles of double effect and clinical ethics.