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Title: SOLUTION OF SELECTION PROBLEMS WITH FUZZY PARAMETERS
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SOLUTION OF SELECTION PROBLEMS WITH FUZZY PARAMETERS
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1314-2704
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English
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17
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21
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A method of solving the selection problems with fuzzy parameters by means of a special algebraic structure is proposed. To construct such an algebraic structure, we propose a special transformation of existing fuzzy numbers to the simpler form (L or R number) while keeping the most of the initial expert information. This structure avoids deficiencies limiting applicability of the other known structures, such as unjustified extension of the uncertainty, violation of certain natural relations, openness of the carrier set with respect to the operations of multiplication and division etc. Then a more useful isomorphic algebra is constructed that also overcomes the known problem of a comparison of fuzzy numbers. This algebra defines its operations through operations on real numbers, which simplifies its usability (namely in the standard numerical computing environments). Methodology for solving problems with fuzzy numbers is presented. Example on the solution of a quadratic equation is also presented and discussed.
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conference
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17th International Multidisciplinary Scientific GeoConference SGEM 2017
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17th International Multidisciplinary Scientific GeoConference SGEM 2017, 29 June - 5 July, 2017
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Proceedings Paper
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STEF92 Technology
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International Multidisciplinary Scientific GeoConference-SGEM
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Bulgarian Acad Sci; Acad Sci Czech Republ; Latvian Acad Sci; Polish Acad Sci; Russian Acad Sci; Serbian Acad Sci & Arts; Slovak Acad Sci; Natl Acad Sci Ukraine; Natl Acad Sci Armenia; Sci Council Japan; World Acad Sci; European Acad Sci, Arts & Letters; Ac
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595-602
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29 June - 5 July, 2017
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website
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cdrom
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3004
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optimal choice; algebraic structure; fuzzy arithmetic; LR-numbers
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