MAXIMUM M-ENTROPY MODEL- TYPE ΙΙ FOR OBTAINING THE ORDERED WEIGHTED AVERAGING OPERATOR WEIGHTS

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CHAJI ALIREZA; YARI GHOLAMHOSSEIN

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Paper Information

Journal: ADVANCES IN MATHEMATICAL MODELING Year:2015 | Volume:5 | Issue:1 Page(s): 39-57

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Information Journal Paper

Title

MAXIMUM M-ENTROPY MODEL- TYPE ΙΙ FOR OBTAINING THE ORDERED WEIGHTED AVERAGING OPERATOR WEIGHTS

Author(s)

CHAJI ALIREZA | YARI GHOLAMHOSSEIN | Issue Writer Certificate

Keywords

OWA OPERATORQ2

OPERATOR WEIGHTSQ2

ORNESSQ2

MAXIMUM ENTROPYQ2

ENTROPYQ2

BAYESIAN ENTROPYQ2

Abstract

One key issue in the theory of the OWA OPERATOR is to determine its associated weights. In this paper, based upon the M-Entropy measures, new models for obtaining the ordered weighted averaging (OWA) operators are proposed. In the models it is assumed, according to available information that the OWA weights are in decreasing or increasing order. Some properties of the models are analyzed and the method of Lagrange multipliers is used to provide a direct way to find these weights. The models are solved with specific level of ORNESS comparing the results with some other related models and with the other maximum M-entropy model. The results demonstrate the efficiency of the M-Entropy models in generating the OWA OPERATOR weights. Also, the obtained weights of the two M-entropy models confirm the difference between two types of the models. Finally, an applied example is presented to illustrate the applications of the proposed model.

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APA: Copy

CHAJI, ALIREZA, & YARI, GHOLAMHOSSEIN. (2015). MAXIMUM M-ENTROPY MODEL- TYPE ?? FOR OBTAINING THE ORDERED WEIGHTED AVERAGING OPERATOR WEIGHTS. ADVANCES IN MATHEMATICAL MODELING, 5(1), 39-57. SID. https://sid.ir/paper/243919/en

Vancouver: Copy

CHAJI ALIREZA, YARI GHOLAMHOSSEIN. MAXIMUM M-ENTROPY MODEL- TYPE ?? FOR OBTAINING THE ORDERED WEIGHTED AVERAGING OPERATOR WEIGHTS. ADVANCES IN MATHEMATICAL MODELING[Internet]. 2015;5(1):39-57. Available from: https://sid.ir/paper/243919/en

IEEE: Copy

ALIREZA CHAJI, and GHOLAMHOSSEIN YARI, “MAXIMUM M-ENTROPY MODEL- TYPE ?? FOR OBTAINING THE ORDERED WEIGHTED AVERAGING OPERATOR WEIGHTS,” ADVANCES IN MATHEMATICAL MODELING, vol. 5, no. 1, pp. 39–57, 2015, [Online]. Available: https://sid.ir/paper/243919/en

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