Data-driven fuzzy analysis in quantitative mineral resource assessment

The integration of geo-information from multiple sources and of diverse nature in developing mineral favourability indexes (MFIs) is a well-known problem in mineral exploration and mineral resource assessment. Fuzzy set theory provides a convenient framework to combine and analyse qualitative and quantitative data independently of their source or characteristics. A novel, data-driven formulation for calculating MFIs based on fuzzy analysis is developed in this paper. Different geo-variables are considered fuzzy sets and their appropriate membership functions are defined and modelled. A new weighted average-type aggregation operator is then introduced to generate a new fuzzy set representing mineral favourability. The membership grades of the new fuzzy set are considered as the MFI. The weights for the aggregation operation combine the individual membership functions of the geo-variables, and are derived using information from training areas and L1 regression. The technique is demonstrated in a case study of skarn tin deposits and is used to integrate geological, geochemical and magnetic data. The study area covers a total of 22.5 km and is divided into 349 cells, which include nine control cells. Nine geo-variables are considered in this study. Depending on the nature of the various geo-variables, four different types of membership functions are used to model the fuzzy membership of the geo-variables involved. r 2002 Elsevier Science Ltd. All rights reserved.

[1]  A. Geikie The Geology of China , 1882, Nature.

[2]  G. J. Woodsworth,et al.  Multiple regression as a method of estimating exploration potential in an area near terrace, b.c , 1970 .

[3]  F P Agterberg,et al.  Geomathematical evaluation of copper and zinc potential of the Abitibi area, Ontario and Quebec , 1972 .

[4]  R. McCammon Nonlinear regression for dependent variables , 1973 .

[5]  Glenn Shafer,et al.  A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.

[6]  Ronald D. Armstrong,et al.  An Algorithm for a Restricted Discrete Approximation Problem in the $L_1 $ Norm , 1977 .

[7]  A regionalized multivariate approach to target selection in geochemical exploration , 1978 .

[8]  F. Agterberg,et al.  Regression models for estimating mineral resources from geological map data , 1980 .

[9]  QUANTITATIVE INTEGRATION OF MINERAL EXPLORATION DATA FROM THE GRONG MINING DISTRICT, NORWAY , 1981 .

[10]  Richard B. McCammon,et al.  Characteristic analysis—1981: Final program and a possible discovery , 1983 .

[11]  D. Harris Mineral resources appraisal : mineral endowment, resources, and potential supply : concepts, methods and cases , 1984 .

[12]  Didier Dubois,et al.  A review of fuzzy set aggregation connectives , 1985, Inf. Sci..

[13]  Hans-Jürgen Zimmermann,et al.  Fuzzy Set Theory - and Its Applications , 1985 .

[14]  D. Singer,et al.  Integrating spatial and frequency information in the search for kuroko deposits of the Hokuroku District, Japan , 1988 .

[15]  George J. Klir,et al.  Fuzzy sets, uncertainty and information , 1988 .

[16]  F. Agterberg Computer programs for mineral exploration. , 1989, Science.

[17]  Wooil M. Moon,et al.  Integration Of Geophysical And Geological Data Using Evidential Belief Function , 1990 .

[18]  Wooil M. Moon,et al.  Integration of Geophysical, Geological and Remote Sensing Data Using Fuzzy Set Theory , 1991 .

[19]  F. Agterberg Combining indicator patterns in weights of evidence modeling for resource evaluation , 1992 .

[20]  Guocheng Pan,et al.  Estimating a favorability equation for the integration of geodata and selection of mineral exploration targets , 1992 .

[21]  Guocheng Pan,et al.  Canonical favorability model for data integration and mineral potential mapping , 1993 .

[22]  Chang-Jo Chung,et al.  The representation of geoscience information for data integration , 1993 .

[23]  Regionalized favorability theory for information synthesis in mineral exploration , 1993 .

[24]  G. Bonham-Carter,et al.  Uncertainty management in integration of exploration data using the belief function , 1994 .

[25]  G. Bonham-Carter Geographic Information Systems for Geoscientists: Modelling with GIS , 1995 .

[26]  D. Singer,et al.  Application of a feedforward neural network in the search for Kuroko deposits in the Hokuroku district, Japan , 1996 .

[27]  D. Singer,et al.  Classification of mineral deposits into types using mineralogy with a probabilistic neural network , 1997 .

[28]  Donald A. Singer,et al.  Use of a neural network to integrate geoscience information in the classification of mineral deposits and occurrences , 1997 .

[29]  Q. Cheng,et al.  Fuzzy Weights of Evidence Method and Its Application in Mineral Potential Mapping , 1999 .

[30]  Guocheng Pan,et al.  Information synthesis for mineral exploration , 2000 .