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FUZZY LOGIC METHOD OF MINERAL IDENTIFICATION BY CHEMICAL COMPOSITION
Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, Moscow, Russia
Journal: Geophysical research
Tome: 17
Number: 4
Year: 2016
Pages: 47-56
UDK: 552.08; 004.9
DOI: 10.21455/gr2016.4-4
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Ivanov S.D. FUZZY LOGIC METHOD OF MINERAL IDENTIFICATION BY CHEMICAL COMPOSITION // . 2016. Т. 17. № 4. С. 47-56. DOI: 10.21455/gr2016.4-4
@article{IvanovFUZZY2016,
author = "Ivanov, S. D.",
title = "FUZZY LOGIC METHOD OF MINERAL IDENTIFICATION BY CHEMICAL COMPOSITION",
journal = "Geophysical research",
year = 2016,
volume = "17",
number = "4",
pages = "47-56",
doi = "10.21455/gr2016.4-4",
language = "English"
}
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Keywords: mineral identification, fuzzy logic, web-application, isomorphism, solid solutions
Аnnotation: The paper describes the method of identification of silicate minerals by their chemical composition. The review and comparison of existing approaches to mineral identification is given. The method using the fuzzy logic for identification is proposed. This approach takes into account the high variability of individual elements in the mineral composition without affecting the overall accuracy of identification. Mineral compositions are described by the sets constraints written in a special formal language. These sets include constraints on individual elements and their groups, on impurities, and on the order of elements in exchange groups. The threshold value was estimated with usage of the geochemical data set. To increase the number of identified minerals, the special tool was created that automatically converts the crystal-mineral formula to a set of constraints. The software that implements this method is available as a web-application and allows mineral identification with existing constraint sets or user-created sets.
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Chudenko K.V., Avchenko O.V., Vah A.C. Programma MC – petrologichesky instrument dlya vichisleniya realnyh kolichestv mineraliv v gornoy porode (The MC Program – a petrological instrument for the calculation of real mineral contents in the rock), FEGI FEBRAS, 2013.
Cohen D., Ward C.R. SEDNORM — a program to calculate a normative mineralogy for sedimentary rocks based on chemical analyses, Computers & Geosciences, 1991, vol. 17, no. 9, pp. 1235–1253.
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Higgins M.D. Quantitative textural measurements in igneous and metamorphic petrology. Cambridge: Cambridge University Press, 2006, pp. 259. ISBN: 978-0521135153.
Holland T. and Blundy J. Non-ideal interactions in calcic amphiboles and their bearing on amphibole-plagioclase thermometry, Contr. Mineral. and Petrol., 1994, vol. 116, no. 4, pp. 433–447.
Ivanov S.D. Modern Platform for Geochemical Data Processing, The Fifteenth International Conference “Physical-Chemical And Petrophysical Researches In The Earth’s Sciences”. Proceedings of the Conference. Moscow: IGEM RAS.
Janousek V. Interpretation of Whole-rock Geochemical Data in Igneous Geochemistry: Introducing Geochemical Data Toolkit (GCDkit), Journal of Petrology, 2006, vol. 47, no. 6, pp. 1255-1259.
Le Maitre R.W. GENMIX — A generalized petrological mixing model program, Computers & Geosciences, 1981, vol. 7, no. 3, pp. 229–247.
Omoumi H. GemIdent: a data base for gems and some applications of the electron microprobe in gem characterization, Heideh Omoumi MSc. Thesis. Alberta: University of Alberta, 1990, pp. 270.
Paktunc A. D. MODAN: an interactive computer program for estimating mineral quantities based on bulk composition, Computers & Geosciences, 1998, vol. 24, no. 5, pp. 425–431.
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Poscha M. and Kurzb D. A2M — A program to compute all possible mineral modes from geochemical analyses, Computers & Geosciences, 2007, vol. 33, no. 4, pp. 563–572.
Reed S.J.B. Electron Microprobe Analysis and Scanning Electron Microscopy in Geology. Cambridge: Cambridge University Press, 2005.
Rosen O. M., Abbyasov A.A., and Tipper J. C. MINLITH — an experience-based algorithm for estimating the likely mineralogical compositions of sedimentary rocks from bulk chemical analyses, Computers & Geosciences, 2004, vol. 30, no. 6, pp. 647–661.
Smith D.G.W. and Leibovitz D.P. MinIdent: a data base for minerals and a computer program for their identification, Canadian Mineralogist, 1986, vol. 24, pp. 695-708.
Wilson G.C. MinIdent for Windows, version 3.00 Professional, database 1.0 // Canadian Mineralogist, 2003, vol 41, pp. 548-552.014 (in Russ.).
Zadeh L.A. The Concept of a Linguistic Variable and its Application to Approximate Reasoning – III, Information Sciences, 1972, no. 9, pp. 43-80.
Bernhardt H.-J. MINCALC-V5, a non EXCEL based computer program for general electron-microprobe mineral analyses data processing, Abstracts of 20th IMA-Meeting, 2010, pp. 869.
Chudenko K.V., Avchenko O.V., Vah A.C. Programma MC – petrologichesky instrument dlya vichisleniya realnyh kolichestv mineraliv v gornoy porode (The MC Program – a petrological instrument for the calculation of real mineral contents in the rock), FEGI FEBRAS, 2013.
Cohen D., Ward C.R. SEDNORM — a program to calculate a normative mineralogy for sedimentary rocks based on chemical analyses, Computers & Geosciences, 1991, vol. 17, no. 9, pp. 1235–1253.
Gaines R.V., Catherine H., Skinner W., Foord E.E., Mason B., and Rosenzweig A. Dana's New Mineralogy: The System of Mineralogy of James Dwight Dana and Edward Salisbury Dana. 8th Edition. Hoboken: Wiley-Interscience, 1997. ISBN: 978-0471193104.
Higgins M.D. Quantitative textural measurements in igneous and metamorphic petrology. Cambridge: Cambridge University Press, 2006, pp. 259. ISBN: 978-0521135153.
Holland T. and Blundy J. Non-ideal interactions in calcic amphiboles and their bearing on amphibole-plagioclase thermometry, Contr. Mineral. and Petrol., 1994, vol. 116, no. 4, pp. 433–447.
Ivanov S.D. Modern Platform for Geochemical Data Processing, The Fifteenth International Conference “Physical-Chemical And Petrophysical Researches In The Earth’s Sciences”. Proceedings of the Conference. Moscow: IGEM RAS.
Janousek V. Interpretation of Whole-rock Geochemical Data in Igneous Geochemistry: Introducing Geochemical Data Toolkit (GCDkit), Journal of Petrology, 2006, vol. 47, no. 6, pp. 1255-1259.
Le Maitre R.W. GENMIX — A generalized petrological mixing model program, Computers & Geosciences, 1981, vol. 7, no. 3, pp. 229–247.
Omoumi H. GemIdent: a data base for gems and some applications of the electron microprobe in gem characterization, Heideh Omoumi MSc. Thesis. Alberta: University of Alberta, 1990, pp. 270.
Paktunc A. D. MODAN: an interactive computer program for estimating mineral quantities based on bulk composition, Computers & Geosciences, 1998, vol. 24, no. 5, pp. 425–431.
Perchuk L.L., Ryabchikov I.D., Fazovoe sootvetstvie v mineralnyh systemah (The Matching Of Phases In The Mineral Systems). Moscow: Nedra, 1976.
Petrov T.G. Informacionny yazyk RHA dlya opisaniya, sistematizacii i izucheniya sostavov mnogokomponentnyh obektov (The Information Language RHA for Describing, Systematization and Research of The Compositions of a Multicomponent Objects). Moscow: VINITI RAS.
Poscha M. and Kurzb D. A2M — A program to compute all possible mineral modes from geochemical analyses, Computers & Geosciences, 2007, vol. 33, no. 4, pp. 563–572.
Reed S.J.B. Electron Microprobe Analysis and Scanning Electron Microscopy in Geology. Cambridge: Cambridge University Press, 2005.
Rosen O. M., Abbyasov A.A., and Tipper J. C. MINLITH — an experience-based algorithm for estimating the likely mineralogical compositions of sedimentary rocks from bulk chemical analyses, Computers & Geosciences, 2004, vol. 30, no. 6, pp. 647–661.
Smith D.G.W. and Leibovitz D.P. MinIdent: a data base for minerals and a computer program for their identification, Canadian Mineralogist, 1986, vol. 24, pp. 695-708.
Wilson G.C. MinIdent for Windows, version 3.00 Professional, database 1.0 // Canadian Mineralogist, 2003, vol 41, pp. 548-552.014 (in Russ.).
Zadeh L.A. The Concept of a Linguistic Variable and its Application to Approximate Reasoning – III, Information Sciences, 1972, no. 9, pp. 43-80.
