caa a22 4500 605470510 CHVBK 20210128100328.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s00500-014-1340-7 doi (NATIONALLICENCE)springer-10.1007/s00500-014-1340-7 General derivation and analysis for input-output relations in interval type-2 fuzzy logic systems [Elektronische Daten] [Mortaza Aliasghary, Ibrahim Eksin, Mujde Guzelkaya, Tufan Kumbasar] In this paper, analytical closed-form expressions are derived for the input-output relation related to an interval type-2 fuzzy logic system. It has been assumed that the related fuzzy system possesses diamond-shaped type-2 fuzzy sets for each input and singletons for output. Moreover, the Nie-Tan inference engine that provides a closed-form is preferred. The footprint of uncertainty in diamond-shaped type-2 membership functions generates four times as many regions in analytical closed-form expression as generated by standard triangular type-1 membership functions. The derived mathematical relationships provide a chance to examine the internal structure of an interval type-2 fuzzy system. These extra regions may enhance the performance of an interval type-2 fuzzy logic system over the type-1 counterpart. An important advantage of the proposed technique is that the analytical input-output relations are applicable for any number of input fuzzy sets. Analytical structures of two special cases of interval type-2 fuzzy logic systems which use different number of membership functions for each input are derived in detail. Springer-Verlag Berlin Heidelberg, 2014 Interval type-2 fuzzy logic system nationallicence Analytical derivation nationallicence Type-1 fuzzy logic system nationallicence Aliasghary Mortaza Electrical Engineering Department, Urmia University of Technology, Urmia, Iran aut Eksin Ibrahim Control Engineering Department, Istanbul Technical University, 34469, Istanbul, Turkey aut Guzelkaya Mujde Control Engineering Department, Istanbul Technical University, 34469, Istanbul, Turkey aut Kumbasar Tufan Control Engineering Department, Istanbul Technical University, 34469, Istanbul, Turkey aut Soft Computing Springer Berlin Heidelberg 19/5(2015-05-01), 1283-1293 1432-7643 19:5<1283 2015 19 500 https://doi.org/10.1007/s00500-014-1340-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00500-014-1340-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Aliasghary Mortaza Electrical Engineering Department, Urmia University of Technology, Urmia, Iran aut NATIONALLICENCE 700 1- Eksin Ibrahim Control Engineering Department, Istanbul Technical University, 34469, Istanbul, Turkey aut NATIONALLICENCE 700 1- Guzelkaya Mujde Control Engineering Department, Istanbul Technical University, 34469, Istanbul, Turkey aut NATIONALLICENCE 700 1- Kumbasar Tufan Control Engineering Department, Istanbul Technical University, 34469, Istanbul, Turkey aut NATIONALLICENCE 773 0- Soft Computing Springer Berlin Heidelberg 19/5(2015-05-01), 1283-1293 1432-7643 19:5<1283 2015 19 500