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001484645 001__ 1484645
001484645 003__ OCoLC
001484645 005__ 20240117003332.0
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001484645 008__ 231209s2023\\\\sz\\\\\\ob\\\\001\0\eng\d
001484645 019__ $$a1412500548
001484645 020__ $$a9783031397486$$q(electronic bk.)
001484645 020__ $$a3031397487$$q(electronic bk.)
001484645 020__ $$z3031397479
001484645 020__ $$z9783031397479
001484645 0247_ $$a10.1007/978-3-031-39748-6$$2doi
001484645 035__ $$aSP(OCoLC)1412622844
001484645 040__ $$aEBLCP$$beng$$cEBLCP$$dYDX$$dGW5XE$$dOCLCO$$dEBLCP
001484645 049__ $$aISEA
001484645 050_4 $$aQA248.5
001484645 08204 $$a511.3223$$223/eng/20231218
001484645 1001_ $$aDiker, Murat.
001484645 24510 $$aTexture spaces /$$cMurat Diker.
001484645 260__ $$aCham :$$bSpringer,$$c2023.
001484645 300__ $$a1 online resource (258 p.).
001484645 4901_ $$aStudies in fuzziness and soft computing ;$$vv. 411
001484645 504__ $$aIncludes bibliographical references and index.
001484645 5050_ $$aIntro -- Preface -- References -- Acknowledgements -- Contents -- 1 Introduction -- 1.1 Lattices -- 1.2 Completely Distributive Lattices -- References -- 2 Textures -- 2.1 Basic Concepts and Results -- 2.2 p-Set and q-Set -- 2.3 Equivalences of Completely Distributivity in Texture Spaces -- 2.4 Simple and Plain Textures -- References -- 3 Brown's Representation Theorem -- 3.1 Textural Isomorphisms -- 3.2 Product of Textures -- 3.3 L-Fuzzy Set Texturing mathcalP(U)otimesmathcalML -- 3.4 Orthopair (Intuitionistic) Textures -- References -- 4 Direlations -- 4.1 Basic Concepts
001484645 5058_ $$a4.2 Textural Image of a Set: Sections -- 4.3 Composition of Direlations -- 4.4 Seriality and Injectivity -- 5 Rough Sets -- 5.1 Pawlak's Approximation Spaces -- 5.2 Generalized Approximation Spaces -- 5.3 Generalized Approximation Spaces with Two Domains of Discourse -- 5.4 Textural Rough Sets -- 5.5 Textural Definability -- References -- 6 Basic Results in Rough Set Theory via Textures -- 6.1 Generalized Approximation Spaces and Discrete Textures -- 6.2 Definability in Generalized Approximation Spaces with Two Domains of Discourse -- 6.3 Revised Textural Rough Sets
001484645 5058_ $$a6.4 Revised Rough Set Approximations -- References -- 7 Fuzzy Rough Sets -- 7.1 Fuzzy Logical Connectives -- 7.2 Continuity of Fuzzy Logical Connectives -- 7.3 Textural Fuzzy Direlations -- 7.4 Fuzzy Direlations Defined by Fuzzy Logic Connectives -- 7.5 Adjointness and Duality -- 7.6 The Well-Known Fuzzy Rough Set Models Obtained by t-Fuzzy Direlations -- 7.7 Basic Properties of Fuzzy Relations -- 7.8 t-Fuzzy Rough Set Approximations with Two Domains of Discourse -- 7.9 Definability in t-Fuzzy Approximation Spaces -- 7.10 Basic Properties of Fuzzy Rough Sets with Two Domains of Discourse
001484645 5058_ $$a7.11 Definability in Terms of Fuzzy Logic Connectives -- 7.12 Revised t-Fuzzy Rough Set Models -- 7.13 Revised Fuzzy Rough Set Models with Two Domains of Discourse -- References -- Appendix Index -- Index
001484645 506__ $$aAccess limited to authorized users.
001484645 520__ $$aThis book provides a complete framework for the fundamental concepts and results of texture spaces and its applications. The principal aim is to present a comprehensive arguments due to connections among the textures, fuzzy sets and rough sets. In this context, direlations, fuzzy direlations and fuzzy relations constitute a bridge for the remarkable observations on rough set theory. In a more general setting, the approximation operators are also inspected for fuzzy rough set models with two domains of discourse. Since the book is self-contained and reader-friendly, the respected researchers may utilize this source for further investigations of the necessary results for their studies on rough set theory using textures. Therefore, prospective readers are not only mathematicians who interest in purely mathematical theories related to textures, but also engineers of information sciences who need more information for their interdisciplinary studies with respect to rough sets and fuzzy sets.
001484645 650_0 $$aFuzzy sets.
001484645 650_0 $$aRough sets.
001484645 650_6 $$aEnsembles flous.
001484645 650_6 $$aEnsembles approximatifs.
001484645 655_0 $$aElectronic books.
001484645 77608 $$iPrint version:$$aDiker, Murat$$tTexture Spaces$$dCham : Springer International Publishing AG,c2023$$z9783031397479
001484645 830_0 $$aStudies in fuzziness and soft computing ;$$vv. 411.
001484645 852__ $$bebk
001484645 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-39748-6$$zOnline Access$$91397441.1
001484645 909CO $$ooai:library.usi.edu:1484645$$pGLOBAL_SET
001484645 980__ $$aBIB
001484645 980__ $$aEBOOK
001484645 982__ $$aEbook
001484645 983__ $$aOnline
001484645 994__ $$a92$$bISE