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Accuracy Enhancement in a Fuzzy Expert Decision Making System Through Appropriate Determination of Membership Functions and Its Application in a Medical Diagnostic Decision Making System

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Abstract

The paper attempts to improve the accuracy of a fuzzy expert decision making system by tuning the parameters of type-2 sigmoid membership functions of fuzzy input variables and hence determining the most appropriate type-1 membership function. The current work mathematically models the variability of human decision making process using type-2 fuzzy sets. Moreover, an index of accuracy of a fuzzy expert system has been proposed and determined analytically. It has also been ascertained that there exists only one rule in the rule base whose associated mapping for the ith linguistic variable maps to the same value as the maximum value of the membership function for the ith linguistic variable. The improvement in decision making accuracy was successfully verified in a medical diagnostic decision making system for renal diagnostic applications. Based on the accuracy estimations applied over a set of pathophysiological parameters, viz. body mass index, glucose, urea, creatinine, systolic and diastolic blood pressure, appropriate type-1 fuzzy sets of these parameters have been determined assuming normal distribution of type-1 membership function values in type-2 fuzzy sets. The type-1 fuzzy sets so determined have been used to develop an FPGA based smart processor. Using the processor, renal diagnosis of patients has been performed with an accuracy of 98.75%.

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Authors and Affiliations

  1. Department of Electrical Engineering, IIT Kharagpur, Kharagpur, India

    Suddhasattwa Das

  2. Centre for VLSI Design and Embedded Systems, IIIT Hyderabad, Hyderabad, India

    Shubhajit Roy Chowdhury

  3. Centre of Excellence for Green Energy and Sensor Systems, Bengal Engineering and Science University, Shibpur, India

    Hiranmay Saha

Authors
  1. Suddhasattwa Das
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  2. Shubhajit Roy Chowdhury
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  3. Hiranmay Saha
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Correspondence to Shubhajit Roy Chowdhury.

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Das, S., Roy Chowdhury, S. & Saha, H. Accuracy Enhancement in a Fuzzy Expert Decision Making System Through Appropriate Determination of Membership Functions and Its Application in a Medical Diagnostic Decision Making System. J Med Syst 36, 1607–1620 (2012). https://doi.org/10.1007/s10916-010-9623-8

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  • DOI: https://doi.org/10.1007/s10916-010-9623-8

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