LEADER 02782nam 2200457 450 001 9910677165403321 005 20230906192541.0 010 $a1-119-44530-2 010 $a1-119-44529-9 010 $a1-119-44532-9 010 $a9781119445326$b(ebook) 035 $a(CKB)4100000010870890 035 $a(MiAaPQ)EBC6247778 035 $a(CaSebORM)9781119445289 035 $a(EXLCZ)994100000010870890 100 $a20201023h20202020 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA modern introduction to fuzzy mathematics /$fApostolos Syropoulos, Theophanes Grammenos 210 1$aHoboken, New Jersey :$cWiley,$d[2020] 210 4$dİ2020 215 $a1 online resource (xvii, 363 pages) $cillustrations 311 08$a1-119-44528-0 311 08$a9781119445289 320 $aIncludes bibliographical references and indexes. 330 $a"This book aims to fill a gap in fuzzy mathematics literature by presenting recent developments and also discussing what has been done so far in the field. The book contains 12 chapters. Chapter 1 introduces the reader to the basic ideas behind fuzzy sets. The authors explain what vagueness is and how it is different from other related ideas such as imprecision. Chapter 2 introduces the various forms, as well as the basic operations between fuzzy sets. In addition, the authors discuss the extension principle and introduce fuzzy numbers and the basic arithmetic operations between them. Next, Chapter 3 covers fuzzy relations and discusses their properties, while Chapter 4 introduces the notions of fuzzy predicate, fuzzy logics, ordinary fuzzy logical connectives, as well as t-norms and t-conorms. Fuzzy proof theory and related ideas are also covered in this chapter. Generalized measure theory is discussed in Chapter 5, while Chapter 6 introduces a fuzzy version of a statistical theory. Fuzzy grammars, fuzzy languages, and fuzzy automata are covered in Chapter 7, while Chapter 8 examines fuzzy Turing machines. Next, Chapter 9 discusses fuzzy multisets, while Chapter 10 introduces fuzzy algebraic structures and related ideas. Chapter 11 covers fuzzy calculus. Finally, in Chapter 12 the authors examine fuzzy topology and the properties of fuzzy topological spaces, as well as fuzzy metric spaces"--$cProvided by publisher. 606 $aFuzzy mathematics 615 0$aFuzzy mathematics. 676 $a510 700 $aSyropoulos$b Apostolos$0721740 702 $aGrammenos$b Theophanes 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910677165403321 996 $aA modern introduction to fuzzy mathematics$93063365 997 $aUNINA