Fuzzy Relational Modeling of Cost and Affordability for Advanced Technology Manufacturing Environment

TL;DR

This paper introduces a fuzzy relational modeling approach for analyzing cost and performance dependencies in advanced manufacturing, enabling uniform decision-making through specialized relational compositions.

Contribution

It presents a novel application of fuzzy relational structures to manufacturing cost analysis, highlighting their ability to uncover attribute dependencies and hierarchies.

Findings

Fuzzy relational structures reveal attribute dependencies and hierarchies.

Testing relational properties identifies similarities and equivalences.

Application demonstrates improved understanding of manufacturing costs.

Abstract

Relational representation of knowledge makes it possible to perform all the computations and decision making in a uniform relational way by means of special relational compositions called triangle and square products. In this paper some applications in manufacturing related to cost analysis are described. Testing fuzzy relational structures for various relational properties allows us to discover dependencies, hierarchies, similarities, and equivalences of the attributes characterizing technological processes and manufactured artifacts in their relationship to costs and performance. A brief overview of mathematical aspects of BK-relational products is given in Appendix 1 together with further references in the literature.