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Note on ranking fuzzy triangular numbers

International Journal of Intelligent Systems, 1998
This paper deals with the problem of ranking a set of alternatives, represented by triangular fuzzy numbers, in decision-making situations. Three new methods are proposed, and a notion of preference between alternatives is suggested. A comparison with other methods is provided in the concluding table. © 1998 John Wiley & Sons, Inc.
FACCHINETTI, Gisella   +2 more
openaire   +5 more sources

Notes on triangular intuitionistic fuzzy numbers

International Journal of Mathematics in Operational Research, 2013
The notion of triangular fuzzy number is put forward on the basis of intuitionistic fuzzy sense. The basic algebra and some non-linear operations of triangular intuitionistic fuzzy numbers (TIFNs) are devised. The average ranking index is introduced to find out order relations between two TIFNs.
Mijanur Rahaman Seikh   +2 more
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A NEW METHOD FOR RANKING TRIANGULAR FUZZY NUMBERS

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2012
The ranking and comparing of fuzzy numbers have important practical uses, such as in risk analysis problems, decision-making, optimization, forecasting, socioeconomic systems, control and certain other fuzzy application systems. Several methods for ranking fuzzy numbers have been widely-discussed though most of them have shortcomings.
Emrah Akyar   +2 more
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Fuzzy SVM Based on Triangular Fuzzy Numbers

2007 International Conference on Machine Learning and Cybernetics, 2007
Support vector machine (SVM) is novel type learning machine, based on statistical learning theory, whose tasks involve classification, regression or novelty detection. Traditional SVM classifies the data with numerical features. However, in most cases of real world, there are much more data with fuzzy features.
Qiang He, Cong-Xin Wu, Eric C.C. Tsang
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Rotation of triangular fuzzy numbers via quaternion

2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2014
In this paper we introduced the concept of three-dimensional triangular fuzzy number and their properties are investigated. It is shown that this set has important metrical properties, e.g convexity. The paper also provides a rotation method for such numbers based on quaternion and aggregation operator.
Ronildo P. A. Moura   +3 more
openaire   +1 more source

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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