The SIRM Fuzzy Inference System: A Study of its Suitability

Balani, Heena and Jayaram, Balasubramaniam (2016) The SIRM Fuzzy Inference System: A Study of its Suitability. Masters thesis, Indian Institute of Technology Hyderabad.

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Abstract

This work is about how to infer from the given knowledge in the form of various rules. This work studies all the fuzzy inference models that are used widely in almost every application. Moreover, the crux of this work is SIRM inference model. The outline of the work is as follows: . Firstly, it introduces all the terms which are going to be used throughout this work. The second chapter, 'Preliminaries' consists of de nitions and basic concepts that are required to get a thorough understanding of the work. . Secondly, it talks about various fuzzy inference methods like Fuzzy Relational Inference (FRIs) : Compositional Rule Inference (CRI) and Bandler-Kohout Subproduct Inference Method (BKS), Single Input Connected Type Fuzzy Inference Method (SIC method) and Takagi-Sugeno Inference Method (TSK). In addition to the fuzzy inference models, the third chapter also explains about the five basic properties, that any FIS is expected to have. . Thirdly, fourth chapter explains SIRM FIS in detail and also gives the available results about the equivalence between SIRM FIS and other FISs. .Fourthly, as we have mentioned, that in this work we are going to investigate about whether the desirable five basic properties hold true in case of SIRM, in fifth chapter, two properties, interpolativity and monotonicity have been shown holding true in case of SIRM FIS. . Lastly, chapter 6 concludes the whole text as in this report.

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