Graph Theory Matrix Approach with Fuzzy Set Theory for Optimization of Operating Parameters on a Diesel Engine

In this paper, Graph theory and matrix approach is explained in detail to show how it serves as a decision making and analysis tool with interdependent relationship framework. The desirable properties of graph theory and matrix approach are ability to model criteria interactions and ability to generate hierarchical models for modelling and solving complex decision making problems. This methodology is adopted to find the optimal combination of operating parameters on a diesel engine. For in-depth analysis of the methodology, Fuzzy set theory with crisp and fuzzy values are also incorporated and solved. (C) 2017 Elsevier Ltd. All rights reserved.