NDLI: Analytical solution for the linguistic weighted average problem

Content Provider	IEEE Xplore Digital Library
Author	Xinwang Liu Yong Xu Tong Wu Na Li
Copyright Year	2014
Description	Author affiliation: Sch. of Econ. & Manage., Southeast Univ., Nanjing, China (Xinwang Liu; Yong Xu; Tong Wu; Na Li)
Abstract	The linguistic weighted average (LWA) of interval type-2 fuzzy sets is an extension of the fuzzy weighted average (FWA) of type-1 fuzzy sets. Currently, the commonly used methods of both FWA and LWA are based on a-cuts decomposition of the type-1 of type-2 fuzzy sets, which involves large amount of calculations, and the result is not accurate. In this paper, we propose a new algorithm to obtain the analytical solution methods, which is more accurate and efficient than the current a-cuts methods. Some properties of the algorithms are discussed. A numerical example is used to illustrate our new proposed algorithms.
Starting Page	1786
Ending Page	1793
File Size	3170032
Page Count	8
File Format	PDF
e-ISBN	9781479920723
DOI	10.1109/FUZZ-IEEE.2014.6891606
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-07-06
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Switches Algorithm design and analysis Pragmatics Fuzzy sets Computational modeling Frequency selective surfaces Approximation algorithms analytical solution method Linguistic weighted average(LWA) fuzzy weighted average (FWA) discrete α-cuts Karnik-Mendel (KM) algorithm
Content Type	Text
Resource Type	Article

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