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Membership Surface and Arithmetic Operations of Imprecise Matrix

Authors: Dhruba Das


In this paper, a method has been developed to construct the membership surfaces of row and column vectors and arithmetic operations of imprecise matrix. A matrix with imprecise elements would be called an imprecise matrix. The membership surface of imprecise vector has been already shown based on Randomness-Impreciseness Consistency Principle. The Randomness- Impreciseness Consistency Principle leads to defining a normal law of impreciseness using two different laws of randomness. In this paper, the author has shown row and column membership surfaces and arithmetic operations of imprecise matrix and demonstrated with the help of numerical example.

Keywords: Imprecise number, Imprecise vector, Membership surface, Imprecise matrix.

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[1] H. K. Baruah, Set Superimposition and Its Application to the Theory of Fuzzy Sets, Journal of the Assam Science Society, 25-31, 1999.
[2] H. K. Baruah, In search of the root of fuzziness: The measure theoretic meaning of partial presence, Annals of Fuzzy Mathematics and Informatics 2(1), 57-68, 2011.
[3] H. K. Baruah, The Theory of Fuzzy Sets: Beliefs and Realities, International Journal of Energy, Information and Communications,2(2),1-21, 2011.
[4] H. K. Baruah, An introduction to the theory of imprecise sets: The mathematics of partial presence, J Math Comput Sci 2(2), 110-124, 2012.
[5] G. de Barra, Measure Theory and Integration, New Delhi: Wiley Eastern Limited, 1987.
[6] H. K. Baruah, D. Das, Imprecise Vector, Lambert Academic Publishing, Germany, 2014.
[7] D. Das, H. K. Baruah, Construction of the Membership Surface of Imprecise Vector, Springer Plus, 2014, 3:722.
[8] D. Das, H. K. Baruah, Theory of Imprecise Sets: Imprecise Matrix, National Academy Science Letters (Accepted), 2015.