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Transactions: WSEAS TRANSACTIONS ON SYSTEMS
Transactions ID Number: 32-324
Full Name: Abayomi Ajofoyinbo
Position: Senior Lecturer
Age: ON
Sex: Male
Address: Department of Systems Engineering, Faculty of Engineering, University of Lagos, Lagos
Country: NIGERIA
Tel: +2348023045960
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E-mail address: yomi_ajofoyinbo@yahoo.co.uk
Other E-mails: aajofoyinbo@unilag.edu.ng
Title of the Paper: On the Systematic Computation of Union and Intersection of Triangular Fuzzy Sets
Authors as they appear in the Paper: V.O. S. Olunloyo, A. M. Ajofoyinbo
Email addresses of all the authors: vosolunloyo@hotmail.com,yomi_ajofoyinbo@yahoo.co.uk
Number of paper pages: 12
Abstract: Errors arising from vagueness or imprecision are often associated with measurements in engineering. The capability of Fuzzy sets to express gradual transition from membership to non-membership and vice versa has broad utility, especially for codifying the types of inaccuracies identified in this paper. The overlap between two or more adjoining Fuzzy sets create very important Fuzzy "patch" that has to date received limited attention. The use the Min and Max Operators is based on the fact that grades of membership of data values are presumed to be known and specified. In practice however, data values that are generated dynamically by systems during operations often vary with time. In such cases, there is need to continuously generate the membership grade corresponding to every data value in a Fuzzy set. In the existing literature, Zadeh, Mamdani and Tagaki-Sugeno have established that the Min- and Max- operators can effectively be used for Fuzzy interpolative inf!
erence. But what has not been done is to define an explicit expression for determining membership function in the overlap region. This paper addresses that concern, as it proposes an alternative approach that gives a systematic determination of membership function based on the Fourier series representation of the envelope of the Fuzzy "patch".
Keywords: Membership functions, Fourier series, Fuzzy overlap, Triangular pulses, Polygonal waveform
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