Theory and applications of neutroAlgebras as generalizations of classical algebras / Florentin Smarandache and Madeleine Ali Al-Tahan, editors.

Format:

Book

Author/Creator:

Smarandache, Florentin, Editor.

Contributor:

Al-Tahan, Madeleine Ali, 1986- editor.

Smarandache, Florentin, editor.

Language:

English

Subjects (All):

Neutrosophic logic.

Group theory.

Partial algebras.

Physical Description:

1 online resource (357 pages)

Place of Publication:

IGI Global 2022

Summary:

Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities as well as their interactions with different ideational spectra. In all classical algebraic structures, the law of compositions on a given set are well-defined, but this is a restrictive case because there are situations in science where a law of composition defined on a set may be only partially defined and partially undefined, which we call NeutroDefined, or totally undefined, which we call AntiDefined. Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebra introduces NeutroAlgebra, an emerging field of research. This book provides a comprehensive collection of original work related to NeutroAlgebra and covers topics such as image retrieval, mathematical morphology, and NeutroAlgebraic structure. It is an essential resource for philosophers, mathematicians, researchers, educators and students of higher education, and academicians.

Contents:

On neutroQuadrupleRings / Muritala Ibrahim, Agboola Abdul Akeem, Zulaihat Ibrahim, Emmanuel Adeleke

NeutroAlgebra structure for mathematical morphology / Ahmed Salama, Florentin Smarandache

Neutro ordered ring / Ahmed Hatip

Neutro algebra and neutro group : neutro algebra and neutro group / Madeline Al-Tahan

On some properties of group neutro topological space / Bhimraj Basumatary, Nijwm Wary, Florentin Smarandache

Statistical procedures for neutrosophic probability models / Zahid Khan

NeutroAlgebra environment for image retrieval / Ahmed Salama, Florentin Smarandache, Mariam Hariri, Madeleine Al-Tahan

Theoretical study of the neutroAlgebra generated by the combining function in Prospector and some pedagogical notes / Noel Batista Hernández, Erick González Caballero, Lilia Valencia Cruzaty, Wilmer Ortega Chávez, Carmen Padilla Huarac, Selene Chijchiapaza Chamorro

An introduction to neutroOrderSemihypergroups : an introduction to neutroOrderSemihypergroups / Madeline Al-Tahan, Osman Anis, Ahmed Salama

Introduction to antihypergroups / Muritala Ibrahim, Abdul Akeem Agboola, Zulaihat Ibrahim, Emmanuel Adeleke

NeutroGroups generated by uninorms : a theoretical approach / Erick González Caballero, Maikel Leyva, Jesús Estupiñán Ricardo, Noel Batista Hernández

On neutroSemigroups / Abdul Akeem Agboola, Muritala Ibrahim, Zulaihat Ibrahim, Emmanuel Adeleke

Some remarks and a new linear order in neutroAlgebraic structure / Ngan Roan, Said Broumi.

Notes:

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-66843-497-0