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2009 Ninth IEEE International Conference on Computer and Information Technology
The Theory of Triangle Type-2 Fuzzy Sets
Xiamen, China
October 11-October 14
ISBN: 978-0-7695-3836-5
ASCII Text
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Zehua Lv, Hai Jin, Pingpeng Yuan, "The Theory of Triangle Type-2 Fuzzy Sets," Computer and Information Technology, International Conference on, vol. 1, pp. 57-62, 2009 Ninth IEEE International Conference on Computer and Information Technology, 2009.
 
 
BibTex
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@article{ 10.1109/CIT.2009.79,
author = {Zehua Lv and Hai Jin and Pingpeng Yuan},
title = {The Theory of Triangle Type-2 Fuzzy Sets},
journal ={Computer and Information Technology, International Conference on},
volume = {1},
year = {2009},
isbn = {978-0-7695-3836-5},
pages = {57-62},
doi = {http://doi.ieeecomputersociety.org/10.1109/CIT.2009.79},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Computer and Information Technology, International Conference on
TI - The Theory of Triangle Type-2 Fuzzy Sets
SN - 978-0-7695-3836-5
SP57
EP62
A1 - Zehua Lv,
A1 - Hai Jin,
A1 - Pingpeng Yuan,
PY - 2009
KW - type-1 fuzzy set; type-2 fuzzy set; triangle; conversion
VL - 1
JA - Computer and Information Technology, International Conference on
ER -
 
Interval Type-2 Fuzzy Set is the most popular kind of Type-2 Fuzzy Set, its characteristic is that all the secondary membership functions equal to 1. Though Interval Type-2 Fuzzy Sets can reduce the calculation complexity than other Type-2 Fuzzy Sets, it loses much fuzzy information simultaneously. In order to solve this problem we propose a novel theory of Triangle Type-2 Fuzzy Sets, the formulas for union, intersection and complement of Triangle Type-2 Fuzzy Sets are derived and proven in detail. In addition, the relationship and the conversion between Triangle Type-2 Fuzzy Sets and Interval Type-2 Fuzzy Sets are discussed.
Index Terms:
type-1 fuzzy set; type-2 fuzzy set; triangle; conversion
Citation:
Zehua Lv, Hai Jin, Pingpeng Yuan, "The Theory of Triangle Type-2 Fuzzy Sets," cit, vol. 1, pp.57-62, 2009 Ninth IEEE International Conference on Computer and Information Technology, 2009
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