A simple noniterative method to accurately calculate the centroid of an interval type‐2 fuzzy set
نویسندگان
چکیده
An interval type-2 fuzzy set (IT2FS) contains the infinite number of embedded membership functions (MFs) defined as type-1 sets. The center gravity (COG) an IT2FS is obtained by integrating centroids all these MFs. However, obtaining COG in a continuous domain impossible because MFs and, discrete domain, comes with exponential time complexity. Therefore, different algorithms were proposed to find (COCs) instead COG. These do not necessarily obtain exact value COC; they compete more accurate result less time. In this study, we propose simple noniterative method IT2FSs. This only considers which form boundary values, that is, lower MF (LMF) and upper (UMF), obtains their separately. We show equal weighted sum its LMF UMF if relative areas are considered corresponding weights. call Indirect (ICOG) it indirectly IT2FS. finds considering two It can also uncommon polygonal schematically. use numerical examples illustrate ICOG very fast nonexponential develop new triangular analytical hierarchy process uses accurately defuzzify IT2
منابع مشابه
New results about the centroid of an interval type-2 fuzzy set, including the centroid of a fuzzy granule
The centroid of an interval type-2 fuzzy set (IT2 FS) provides a measure of the uncertainty of such a FS. Its calculation is very widely used in interval type-2 fuzzy logic systems. In this paper, we present properties about the centroid of an IT2 FS. We also illustrate many of the general results for a T2 fuzzy granule (FG) in order to develop some understanding about the uncertainty of the FG...
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چکیده: هدف اصلی این مطالعه ی توصیفی تحقیقی در حقیقت تلاشی پساروش-گرا به منظور رسیدن به نتیجه ای منطقی در انتخاب مناسبترین راهکار آموزشی بر گرفته از چارچوب راهبردی مطرح شده توسط والدمر مارتن بوده که به بهترین شکل سازگار و مناسب با سامانه ی آموزشی ایران باشد. از این رو، دو راهکار آموزشی، راهکار ارتباطی و راهکار بازساختی، برای تحقیق و بررسی انتخاب شدند. صریحاً اینکه، در راستای هدف اصلی این پژوهش، ر...
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ژورنال
عنوان ژورنال: International Journal of Intelligent Systems
سال: 2022
ISSN: ['1098-111X', '0884-8173']
DOI: https://doi.org/10.1002/int.23076