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Equivalence of Common Metrics on Trapezoidal Fuzzy Numbers
AxiomsFrom both theoretical and applied perspectives, the trapezoidal fuzzy numbers are widely relevant fuzzy sets. In this paper, we show that the four kinds of common metrics—the supremum metric, the Lp-type dp metrics, the sendograph metric, and the ...
Qingsong Mao, Huan Huang
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A new approach for ranking of trapezoidal fuzzy numbers
Computers and Mathematics With Applications, 2009 Ranking fuzzy numbers plays an very important role in linguistic decision making and some other fuzzy application systems. Several strategies have been proposed for ranking of fuzzy numbers.
S Abbasbandy
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Approximations of fuzzy numbers by trapezoidal fuzzy numbers preserving the ambiguity and value
Computers and Mathematics With Applications, 2011 Value and ambiguity are two parameters which were introduced to represent fuzzy numbers. In this paper, we find the nearest trapezoidal approximation and the nearest symmetric trapezoidal approximation to a given fuzzy number, with respect to the average
Lucian Coroianu
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On improving trapezoidal and triangular approximations of fuzzy numbers
International Journal of Approximate Reasoning, 2008 Recently, various researchers have proved that the approximations of fuzzy numbers may fail to be fuzzy numbers, such as the trapezoidal approximations of fuzzy numbers.
Chi-Tsuen Yeh
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Quantified trapezoidal fuzzy numbers [PDF]
Journal of Intelligent & Fuzzy Systems, 2017 The aim of this work is to construct quantified trapezoidal fuzzy numbers as an extension of trapezoidal fuzzy numbers, by using modal intervals and accepting the possibility that the α-cuts of a trapezoidal fuzzy number may also be improper intervals ...
Jorba, Lambert +3 more
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Penalty method for fuzzy linear programming with trapezoidal numbers [PDF]
Yugoslav Journal of Operations Research, 2009 In this paper we shall propose an algorithm for solving fuzzy linear programming problems with trapezoidal numbers using a penalty method. We will transform the problem of maximizing a function having trapezoidal fuzzy number values under some ...
Stanojević Bogdana, Stanojević Milan
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A New Ranking Principle For Ordering Trapezoidal Intuitionistic Fuzzy Numbers [PDF]
Complexity, 2017 Modelling real life (industrial) problems using intuitionistic fuzzy numbers is inevitable in the present scenario due to their efficiency in solving problems and their accuracy in the results.
Lakshmana Gomathi Nayagam Velu +2 more
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A new distance measure for trapezoidal fuzzy numbers [PDF]
Mathematical Problems in Engineering, 2013 We propose a new distance measure for the space of all trapezoidal fuzzy numbers using centroid point and left/right spread of trapezoidal fuzzy numbers. Moreover, the metric properties of suggested distance measure are investigated. Indeed, we show that
Ismail, Fudziah +5 more
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Fuzzy regression analysis using trapezoidal fuzzy numbers
Industrial Engineering & Management Systems, 2020 © 2020 KIIE As a widely used method, regression analysis plays an increasingly important role in creating statistical models and making forecasts in the field of economics and finance.
Ismagilov I.I. +3 more
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Ranking nonnormal p-norm trapezoidal fuzzy numbers with integral value
Computers and Mathematics With Applications, 2008 This paper considers the ranking fuzzy numbers with integral value, proposed by Liou and Wang, for the nonnormal p-norm trapezoidal fuzzy numbers.
Tang, Hui-Chin, Chen, Chi-Chi
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