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Triangular approximation preserving the centroid of fuzzy numbers

International Journal of Computer Mathematics, 2012
In this paper, the Karush–Kuhn–Tucker theorem is used for finding the nearest triangular approximation of a fuzzy number with respect to a well-known metric, which preserves the centroid of the fuzzy number, is studied. The properties of translation invariance, scale invariance and identity of the triangular approximation operator are discussed.
Jian Li 0014   +2 more
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Triangular fuzzy number representation of relations in Fuzzy Cognitive Maps

2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2014
In this paper, the conventional Fuzzy Cognitive Maps (FCMs), which has already achieved success in many fields, are extended by using triangular fuzzy numbers (TFNs). The advantage of FCMs is that they are relatively easy to construct and parameterize and are capable of handling the full range of system feedback structure, including density-dependent ...
Engin Yesil   +2 more
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RIDGE REGRESSION PROCEDURES FOR FUZZY MODELS USING TRIANGULAR FUZZY NUMBERS

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004
This paper presents a new method of estimating fuzzy multivariable linear and nonlinear regression models using triangular fuzzy numbers. This estimation method is obtained by implementing a dual version of the ridge regression procedure for linear models.
Dug Hun Hong, Changha Hwang
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Fuzzy production inventory for fuzzy product quantity with triangular fuzzy number

Fuzzy Sets and Systems, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Weighted trapezoidal and triangular approximations of fuzzy numbers

Fuzzy Sets and Systems, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Characterization of the Ranking Indices of Triangular Fuzzy Numbers

2014
We find necessary and sufficient conditions for a ranking index defined on the set of triangular fuzzy numbers as a linear combination of its components to rank effectively. Then, based on this result, we characterize the class of ranking indices which generates orderings on triangular fuzzy numbers satisfying the basic requirements by Wang and Kerre ...
Adrian I. Ban, Lucian C. Coroianu
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PROJECT CHARACTERISTICS WITH TRIANGULAR FUZZY NUMBER

2023
The Critical Path Method (CPM) is required to plan, organize, and arrange for major project networks. A clear estimate of the time duration will help in the successful execution of the CPM. However, the time duration cannot be precisely specified in real life.
Adilakshmi Siripurapu   +1 more
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Economic Feasibility of Projects Using Triangular Fuzzy Numbers

2018
© Springer Nature Switzerland AG 2018. The feasibility analysis of projects is an indispensable process for software development organizations. The intangible nature of software and the multiple criteria considered, introduce uncertainty in this process.
Marieta Peña Abreu   +3 more
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Hermite Interpolation with Triangular Fuzzy Numbers

International Journal of Fuzzy Mathematical Archive, 2017
In this paper the polynomial interpolation of triangular fuzzy number is discussed. First general form of the polynomial with fuzzy coefficients is proposed. The hermite interpolation method is studied with triangular fuzzy number an example is provided to illustrate the algorithm.
Thangaraj Beaula, P.Caroline Mary
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A Fuzzy C-means Type Clustering Algorithm on Triangular Fuzzy Numbers

2009 Sixth International Conference on Fuzzy Systems and Knowledge Discovery, 2009
Fuzzy number type data is a typical class of fuzzy data, and it can be regarded as a general form of the interval data and the crisp data. This paper studies fuzzy clustering algorithm for triangular fuzzy numbers. First of all, we give a novel distance between triangular fuzzy numbers by using three parameters interval number, and prove that the ...
Rong Lan, Jiu-lun Fan 0001
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