General derivation and analysis for input-output relations in interval type-2 fuzzy logic systems

Verfasser / Beitragende:
[Mortaza Aliasghary, Ibrahim Eksin, Mujde Guzelkaya, Tufan Kumbasar]
Ort, Verlag, Jahr:
2015
Enthalten in:
Soft Computing, 19/5(2015-05-01), 1283-1293
Format:
Artikel (online)
ID: 605470510
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024 7 0 |a 10.1007/s00500-014-1340-7  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00500-014-1340-7 
245 0 0 |a General derivation and analysis for input-output relations in interval type-2 fuzzy logic systems  |h [Elektronische Daten]  |c [Mortaza Aliasghary, Ibrahim Eksin, Mujde Guzelkaya, Tufan Kumbasar] 
520 3 |a 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. 
540 |a Springer-Verlag Berlin Heidelberg, 2014 
690 7 |a Interval type-2 fuzzy logic system  |2 nationallicence 
690 7 |a Analytical derivation  |2 nationallicence 
690 7 |a Type-1 fuzzy logic system  |2 nationallicence 
700 1 |a Aliasghary  |D Mortaza  |u Electrical Engineering Department, Urmia University of Technology, Urmia, Iran  |4 aut 
700 1 |a Eksin  |D Ibrahim  |u Control Engineering Department, Istanbul Technical University, 34469, Istanbul, Turkey  |4 aut 
700 1 |a Guzelkaya  |D Mujde  |u Control Engineering Department, Istanbul Technical University, 34469, Istanbul, Turkey  |4 aut 
700 1 |a Kumbasar  |D Tufan  |u Control Engineering Department, Istanbul Technical University, 34469, Istanbul, Turkey  |4 aut 
773 0 |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/5(2015-05-01), 1283-1293  |x 1432-7643  |q 19:5<1283  |1 2015  |2 19  |o 500 
856 4 0 |u https://doi.org/10.1007/s00500-014-1340-7  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00500-014-1340-7  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Aliasghary  |D Mortaza  |u Electrical Engineering Department, Urmia University of Technology, Urmia, Iran  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Eksin  |D Ibrahim  |u Control Engineering Department, Istanbul Technical University, 34469, Istanbul, Turkey  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Guzelkaya  |D Mujde  |u Control Engineering Department, Istanbul Technical University, 34469, Istanbul, Turkey  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Kumbasar  |D Tufan  |u Control Engineering Department, Istanbul Technical University, 34469, Istanbul, Turkey  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/5(2015-05-01), 1283-1293  |x 1432-7643  |q 19:5<1283  |1 2015  |2 19  |o 500