Abstract
In this paper, we have basically attempted to solve two problems: (i) the restricted kriging problem as stated by Matheron, and (ii) the defining of Matheron's kriging problem within the framework of fuzzy logic in order to interpret λ the Lagrange multiplier, which is a function of kriging variance and is a dual variable with respect to which the generalized Lagrange function F(X, λ) is minimized.
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References
Rao, C. R., 1973, Linear statistical inference and its application (2nd. Ed.): John Wiley & Sons, New York.
Zadeh, L. A., 1978, Fuzzy sets as a basis for theory of possibility: Jour. Fuzzy Sets Syst., vol. 1, p. 3–28.
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on leave from Department of Geology, Indian Institute of Technology, Kharagphur 721302, West Bengal, India.
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Rao, S.V.L.N., Prasad, J. Definition of kriging in terms of fuzzy logic. Mathematical Geology 14, 37–42 (1982). https://doi.org/10.1007/BF01037445
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DOI: https://doi.org/10.1007/BF01037445