Interval Semigroups

zbMATH Open1210.20056arXiv1102.2196MaRDI QIDQ3076853

W. B. Vasantha Kandasamy, Florentin Smarandache

Publication date: 25 February 2011

Abstract: In this book we introduce the notion of interval semigroups using intervals of the form [0, a], a is real. Several types of interval semigroups like fuzzy interval semigroups, interval symmetric semigroups, special symmetric interval semigroups, interval matrix semigroups and interval polynomial semigroups are defined and discussed. This book has eight chapters. The main feature of this book is that we suggest 241 problems in the eighth chapter. In this book the authors have defined 29 new concepts and illustrates them with 231 examples. Certainly this will find several applications.

Full work available at URL: https://arxiv.org/abs/1102.2196

zbMATH Keywords

fuzzy interval semigroupsinterval matrix semigroupsinterval polynomial semigroupsinterval symmetric semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Interval and finite arithmetic (65G30) Algebraic systems of matrices (15A30) Sets with a single binary operation (groupoids) (20N02) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory (20-01) Fuzzy algebraic structures (08A72) Semigroups (20Mxx)

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