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International Journal of General Systems, 2019
The purpose of this paper is to introduce the new concept of weighted statistical convergence and strong weighted summability of order β for sequences of fuzzy numbers involving the ideas of difference operators and two sequences , of positive numbers ...
S. A. Mohiuddine, A. Asiri, B. Hazarika
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The purpose of this paper is to introduce the new concept of weighted statistical convergence and strong weighted summability of order β for sequences of fuzzy numbers involving the ideas of difference operators and two sequences , of positive numbers ...
S. A. Mohiuddine, A. Asiri, B. Hazarika
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Conditioned weighted L–R approximations of fuzzy numbers
Fuzzy Sets and Systems, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ban, Adrian I. +2 more
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Trapezoidal approximation-preserving the fuzziness of a fuzzy number
2012 9th International Conference on Fuzzy Systems and Knowledge Discovery, 2012Fuzziness is an important index to capture the relevant information about the fuzzy number's ill-defined magnitude. In this paper, we propose a new trapezoidal approximation of an arbitrary fuzzy number, which preserves its fuzziness. Some properties of translation invariance, scale invariance, preservation of expected value, width and fuzziness of ...
Zhongxing Wang, Haibin Xie, Lili Niu
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Approximation of fuzzy numbers using Bernstein-Kantorovich operators of max-product kind
FilomatIn this paper, in order to study the approximation of a fuzzy number with support [x,y] by Bernstein-Kantorovich operator of max-product kind, we first extend these operators from interval [0,1] to a compact interval [x, y].
Asif Khan +3 more
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Approximation of Parabolic Fuzzy Numbers
2017Most of the real world problems are complex that is raised from uncertainity in the form of ambiguity. To overcome the ambiguity and impreciseness, Zadeh [20] introduced fuzzy set theory in the year 1965. The underlying power of fuzzy sets is that linguistic variables can be used rather than quantitative variables to represent imprecise concepts which ...
Jagadeeswari M. +1 more
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Malaysian journal of mathematical sciences
Fuzzy sets are crucial for tackling the inherent vagueness and uncertainty encountered in assessing parameters across various real-world applications, including project networks, transportation, and decision-making processes. While diverse types of fuzzy
P. K. R. Peddi, L. Abdullah
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Fuzzy sets are crucial for tackling the inherent vagueness and uncertainty encountered in assessing parameters across various real-world applications, including project networks, transportation, and decision-making processes. While diverse types of fuzzy
P. K. R. Peddi, L. Abdullah
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Approximations of Fuzzy Numbers by General Trapezoidal Fuzzy Numbers
2013Recently, many scholars investigated interval, triangular, trapezoidal, and semi-trapezoidal approximations of fuzzy numbers. These researches can be grouped into two classes: one is to study approximations of fuzzy numbers without any constraint; the other one is to study approximations preserving some attributes. In this paper, we propose two general
Chi-Tsuen Yeh, Pei-Hau Lin
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The Symmetric Trapezoidal Approximations of Fuzzy Numbers
2010 International Conference on Computational and Information Sciences, 2010The nearest symmetric trapezoidal approximation is presented for simplifying calculations of fuzzy numbers, which possesses the following properties: the centroid point invariance, ambuguity invariance, width invariance, translation invariance, sc-ale invariance. Numerical results also show that the presented method is valid.
Zhongxing Wang, Jingcui Li
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Fuzzy Sets Syst., 2020
Up to now, there have been many research results about approximations of fuzzy numbers by specific fuzzy numbers under preservation of some operators. However, there are few investigations about approximations of n-dimensional fuzzy numbers.
Shexiang Hai, Z. Gong, Zi-Zhong Chen
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Up to now, there have been many research results about approximations of fuzzy numbers by specific fuzzy numbers under preservation of some operators. However, there are few investigations about approximations of n-dimensional fuzzy numbers.
Shexiang Hai, Z. Gong, Zi-Zhong Chen
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An approximation method of intuitionistic fuzzy numbers
Journal of Intelligent & Fuzzy Systems, 2016A method of approximating intuitionistic fuzzy numbers by trapezoidal intuitionistic fuzzy numbers with respect to a well-known metric is studied in this paper. Firstly, the representations of extended trapezoidal intuitionistic approximations of intuitionistic fuzzy numbers are discussed.
Li, Shuyang, Li, Hongxing
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