A Simplified Description of Fuzzy TOPSIS

A simplified description of Fuzzy TOPSIS (Technique for Order Preference by Similarity to Ideal Situation) is presented. We have adapted the TOPSIS description from existing Fuzzy theory literature and distilled the bare minimum concepts required for understanding and applying TOPSIS. An example has been worked out to illustrate the application of TOPSIS for a multi-criteria group decision making scenario.

💡 Research Summary

The paper presents a streamlined exposition of the fuzzy TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) method, targeting readers who need a concise yet complete guide to applying this multi‑criteria decision‑making (MCDM) tool in group settings. Beginning with a brief motivation, the authors illustrate a typical multi‑criteria group decision‑making (MCGDM) scenario: two decision makers must select a laptop based on price, screen size, memory, and battery life, each assigning different importance to the criteria.

The theoretical foundation is reduced to the essentials of fuzzy set theory: a fuzzy set is defined by a membership function µ(x)∈