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020 _a9783790818703
_9978-3-7908-1870-3
024 7 _a10.1007/978-3-7908-1870-3
_2doi
050 4 _aQA8.9-10.3
072 7 _aPBC
_2bicssc
072 7 _aMAT018000
_2bisacsh
072 7 _aPBC
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082 0 4 _a511.3
100 1 _aAtanassov, Krassimir T.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aIntuitionistic Fuzzy Sets
_h[electronic resource] :
_bTheory and Applications /
_cby Krassimir T. Atanassov.
250 _a1st ed. 1999.
264 1 _aHeidelberg :
_bPhysica-Verlag HD :
_bImprint: Physica,
_c1999.
300 _aXVIII, 324 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aStudies in Fuzziness and Soft Computing,
_x1434-9922 ;
_v35
505 0 _a1 Intuitionistic Fuzzy Sets -- 2 Interval Valued Intuitionistic Fuzzy Sets -- 3 Other Extensions of Intuitionistic Fuzzy Sets -- 4 Elements of Intuitionistic Fuzzy Logics -- 5 Applications of Intuitionistic Fuzzy Sets -- Open Problems in Intuitionistic Fuzzy Sets Theory -- References.
520 _aIn the beginning of 1983, I came across A. Kaufmann's book "Introduction to the theory of fuzzy sets" (Academic Press, New York, 1975). This was my first acquaintance with the fuzzy set theory. Then I tried to introduce a new component (which determines the degree of non-membership) in the definition of these sets and to study the properties of the new objects so defined. I defined ordinary operations as "n", "U", "+" and "." over the new sets, but I had began to look more seriously at them since April 1983, when I defined operators analogous to the modal operators of "necessity" and "possibility". The late George Gargov (7 April 1947 - 9 November 1996) is the "god­ father" of the sets I introduced - in fact, he has invented the name "intu­ itionistic fuzzy", motivated by the fact that the law of the excluded middle does not hold for them. Presently, intuitionistic fuzzy sets are an object of intensive research by scholars and scientists from over ten countries. This book is the first attempt for a more comprehensive and complete report on the intuitionistic fuzzy set theory and its more relevant applications in a variety of diverse fields. In this sense, it has also a referential character.
650 0 _aMathematical logic.
650 0 _aDiscrete mathematics.
650 0 _aArtificial intelligence.
650 0 _aEconomic theory.
650 1 4 _aMathematical Logic and Foundations.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M24005
650 2 4 _aDiscrete Mathematics.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M29000
650 2 4 _aArtificial Intelligence.
_0https://scigraph.springernature.com/ontologies/product-market-codes/I21000
650 2 4 _aEconomic Theory/Quantitative Economics/Mathematical Methods.
_0https://scigraph.springernature.com/ontologies/product-market-codes/W29000
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783790824636
776 0 8 _iPrinted edition:
_z9783790812282
776 0 8 _iPrinted edition:
_z9783662121221
830 0 _aStudies in Fuzziness and Soft Computing,
_x1434-9922 ;
_v35
856 4 0 _uhttps://s443-doi-org.br.lsproxy.net/10.1007/978-3-7908-1870-3
912 _aZDB-2-ENG
912 _aZDB-2-SXE
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