Linguistic Semilinear Algebras And Linguistic Semivector Spaces
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Linguistic Semilinear Algebras And Linguistic Semivector Spaces
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2022-12-15
Linguistic Semilinear Algebras And Linguistic Semivector Spaces written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-15 with Mathematics categories.
Algebraic structures on linguistic sets associated with a linguistic variable are introduced. The linguistics with single closed binary operations are only semigroups and monoids. We describe the new notion of linguistic semirings, linguistic semifields, linguistic semivector spaces and linguistic semilinear algebras defined over linguistic semifields. We also define algebraic structures on linguistic subsets of a linguistic set associated with a linguistic variable. We define the notion of linguistic subset semigroups, linguistic subset monoids and their respective substructures. We also define as in case of deals in classical semigroups, linguistic ideals in linguistic semigroups and linguistic monoids. This concept of linguistic ideals is extended to the case of linguistic subset semigroups and linguistic subset monoids. We also define linguistic substructures.
Exploring The Extension Of Natural Operations On Intervals Matrices And Complex Numbers
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Author : W. B. Vasantha Kandasamy, Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2012
Exploring The Extension Of Natural Operations On Intervals Matrices And Complex Numbers written by W. B. Vasantha Kandasamy, Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Algebra categories.
In this book we explore the possibility of extending the natural operations on reals to intervals and matrices. The extension to intervals makes us define a natural class of intervals in which we accept [a, b], a greater than b. Further, we introduce a complex modulo integer in Z_n (n, a positive integer) and denote it by iF with iF^2 = n-1.
Algebraic Structures Using Super Inter Interval Matrices
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Author : W. B. Vasantha Kandasamy, Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2011
Algebraic Structures Using Super Inter Interval Matrices written by W. B. Vasantha Kandasamy, Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
Categories Of Algebraic Systems
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Author : M. Petrich
language : en
Publisher: Springer
Release Date : 2006-11-14
Categories Of Algebraic Systems written by M. Petrich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
The leitmotiv of this monograph is the unity of the modest part of mathematics encompassed by the algebraic and geometric structures mentioned in its title. Some of the relationships discussed here are very old, indeed "classical", some of them are quite recent, and still lack "status", but the categorical setting in which they are presented is considered here for the first time.