Dynamic equations and almost periodic fuzzy functions on time scales

by Wang, Chao, (Professor of mathematics)

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Title Statements

Full title :Dynamic equations and almost periodic fuzzy functions on time scales / Chao Wang, Ravi P. Agarwal.

Summary

This book systematically establishes the almost periodic theory of dynamic equations and presents applications on time scales in fuzzy mathematics and uncertainty theory. The authors introduce a new division of fuzzy vectors depending on a determinant algorithm and develop a theory of almost periodic fuzzy multidimensional dynamic systems on time scales. Several applications are studied; in particular, a new type of fuzzy dynamic systems called fuzzy q-dynamic systems (i.e. fuzzy quantum dynamic systems) is presented. The results are not only effective on classical fuzzy dynamic systems, including their continuous and discrete situations, but are also valid for other fuzzy multidimensional dynamic systems on various hybrid domains. In an effort to achieve more accurate analysis in real world applications, the authors propose a number of uncertain factors in the theory. As such, fuzzy dynamical models, interval-valued functions, differential equations, fuzzy-valued differential equations, and their applications to dynamic equations on time scales are considered. In addition, this book: Introduces readers to the almost periodic theory of fuzzy dynamical equations on time scales Presents comprehensive real-world applications in industrial engineering, systems science, and cybernetics Includes cutting-edge research results and a new type of fuzzy dynamic systems called fuzzy q-dynamic systems (i.e. fuzzy quantum dynamic systems).

Edition Statements

Publication Date:©2022

Publication Statements

Publisher(s):Springer
Place of Publication:Cham
Language:eng
Publication Date:©2022

The Physical Object

Description:1 online resource (xii, 185 pages) : : illustrations (some color).

Edition Identifiers

ISBN:9783031112362, 3031112369
DOI:10.1007/978-3-031-11236-2
oclc:on1345579874
LC Classification:QA371
Dewey Decimal:515/.35

Intro -- Preface -- Contents -- 1 Generalized Hukuhara Difference and Division for Interval and Fuzzy Arithmetic -- 1.1 Generalized Hukuhara Difference and Properties -- 1.2 The Case of Compact Intervals in ps: [/EMC pdfmark [/Subtype /Span /ActualText (double struck upper R Superscript n) /StPNE pdfmark [/StBMC pdfmarkmathbbRnps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark -- 1.3 ps: [/EMC pdfmark [/Subtype /Span /ActualText (g upper H) /StPNE pdfmark [/StBMC pdfmarkgHps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark-Difference of Fuzzy Numbers

1.3.1 Support Functions and Fuzzy ps: [/EMC pdfmark [/Subtype /Span /ActualText (g upper H) /StPNE pdfmark [/StBMC pdfmarkgHps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark-Difference -- 1.3.2 A Decomposition of Fuzzy Numbers and ps: [/EMC pdfmark [/Subtype /Span /ActualText (g upper H) /StPNE pdfmark [/StBMC pdfmarkgHps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark-Difference -- 1.3.3 Approximated Fuzzy ps: [/EMC pdfmark [/Subtype /Span /ActualText (g upper H) /StPNE pdfmark [/StBMC pdfmarkgHps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark-Difference -- 1.4 Generalized Division

1.4.1 The Fuzzy Case -- 1.4.2 Approximated Fuzzy ps: […