Results 181 to 190 of about 14,285 (222)

Approximation of intuitionistic fuzzy numbers by trapezoidal intuitionistic fuzzy numbers

Journal of Intelligent & Fuzzy Systems, 2017
The notation of extended intuitionistic fuzzy number is introduced and the representation of the weighted extended trapezoidal intuitionistic approximation of an intuitionistic fuzzy number is given in this paper. The problem related to aggregation is addressed about approximating the given intuitionistic fuzzy numbers or aggregating the given ...
Li, Shuyang, Yuan, Xuehai, Li, Hongxing
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Ranking of trapezoidal intuitionistic fuzzy numbers

2012 12th International Conference on Intelligent Systems Design and Applications (ISDA), 2012
Techniques for ranking simple fuzzy numbers are abundant in nature. However, we lack effective methods for ranking intuitionistic fuzzy numbers(IFN). The aim of this paper is to introduce a new ranking procedure for trapezoidal intuitionistic fuzzy number(TRIFN). To serve the purpose, the value and ambiguity index of TRIFNs have been defined.
P.K. De, Debaroti Das
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Approximations of Fuzzy Numbers by General Trapezoidal Fuzzy Numbers

2013
Recently, 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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Measuring Distance of Fuzzy Numbers by Trapezoidal Fuzzy Numbers

AIP Conference Proceedings, 2010
Fuzzy numbers and more generally linguistic values are approximate assessments, given by experts and accepted by decision‐makers when obtaining value that is more accurate is impossible or unnecessary. Distance between two fuzzy numbers plays an important role in linguistic decision‐making.
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Trapezoidal approximation-preserving the fuzziness of a fuzzy number

2012 9th International Conference on Fuzzy Systems and Knowledge Discovery, 2012
Fuzziness 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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Arithmetic of Fuzzy Numbers in Generalized Trapezoidal Form

Journal of Mathematical Sciences, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Koroteev, M. V., Terelyanskii, P. V., Ivanyuk, V. A.   +2 more
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The nearest trapezoidal fuzzy number to a fuzzy quantity

Applied Mathematics and Computation, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abbasbandy, S., Asady, B.
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House Selection using Fuzzy Distance of Trapezoidal Fuzzy Numbers

2007 International Conference on Machine Learning and Cybernetics, 2007
Whether it is reasonable to define a crisp distance between fuzzy objects is a natural question to us. If the numbers themselves are not certain, how can the distance between them be certain? In this paper, we consider different approaches to compute the distance between fuzzy numbers, and introduce a fuzzy value distance by using graded mean ...
Shan-Huo Chen, Chien-Chung Wang
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Preference Relations of Trapezoidal Fuzzy Numbers

2013
As described in Chapter 5, qualitative information, such as that conveyed in outstanding, good and poor, is often used to assess qualitative variables, human moral, the performance of certain equipment, etc. In any fuzzy decision making, the available qualitative information is generally characterized by trapezoidal fuzzy numbers, triangular fuzzy ...
Zaiwu Gong, Yi Lin, Tianxiang Yao
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Dual Trapezoidal Fuzzy Number and its Applications

International Journal of Computing Algorithm, 2015
In this Paper, we introduce Convergence of α-Cut. We define at Which point the α-Cut converges to the fuzzy numbers and it will be illustrated by example using dual trapezoidal fuzzy number and some mensuration problems are illustrated with approximated values. In this paper, we introduce Dual trapezoidal fuzzy numbers with its membership functions and
Revathy S, Jon Arockiaraj J
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