Soft Set Theory & Soft Sigma Algebras - Couverture souple

Naeem, Khalid

9783330073050: Soft Set Theory & Soft Sigma Algebras

Couverture souple

ISBN 10 : 3330073055 ISBN 13 : 9783330073050

Editeur : LAP LAMBERT Academic Publishing, 2017

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The work presented hereby is completed with help of Dr Muhammad Riaz, Department of Mathematics, University of The Punjab, Lahore, Pakistan and inspiration given by Dr Deeba Afzal, Department of Mathematics & Statistics, The University of Lahore, Pakistan. This notion of Soft Set Theory was introduced by Russian Researcher Molodtsov in 1999. There are many applications of soft set theory in a variety of fields including social sciences, physics, engineering, economics, computer science and medical sciences. Soft set theory is a generalization of crisp set theory. In the present work, we study soft topology on a soft set and extend various properties of crisp topology towards the soft topology. We study soft basis for the soft topology. We also study soft ring of sets, soft sigma ring, soft algebra, and soft sigma algebra. We study various set functions. Furthermore, we introduced the notion of measurable soft mappings. Moreover, we present some fundamental notions related to soft probability measure.

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�diteur: LAP LAMBERT Academic Publishing
Date d'�dition: 2017
Langue: anglais
ISBN 10: 3330073055
ISBN 13: 9783330073050
Reliure: Broch�
Nombre de pages: 116
Coordonn�es du fabricant: non disponible
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Soft Set Theory & Soft Sigma Algebras

Khalid Naeem

Edit� par LAP LAMBERT Academic Publishing Apr 2017, 2017

ISBN 10 : 3330073055 ISBN 13 : 9783330073050

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The work presented hereby is completed with help of Dr Muhammad Riaz, Department of Mathematics, University of The Punjab, Lahore, Pakistan and inspiration given by Dr Deeba Afzal, Department of Mathematics & Statistics, The University of Lahore, Pakistan. This notion of Soft Set Theory was introduced by Russian Researcher Molodtsov in 1999. There are many applications of soft set theory in a variety of fields including social sciences, physics, engineering, economics, computer science and medical sciences. Soft set theory is a generalization of crisp set theory. In the present work, we study soft topology on a soft set and extend various properties of crisp topology towards the soft topology. We study soft basis for the soft topology. We also study soft ring of sets, soft sigma ring, soft algebra, and soft sigma algebra. We study various set functions. Furthermore, we introduced the notion of measurable soft mappings. Moreover, we present some fundamental notions related to soft probability measure. 116 pp. Englisch. N� de r�f. du vendeur 9783330073050

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Soft Set Theory & Soft Sigma Algebras

Khalid Naeem

Edit� par LAP LAMBERT Academic Publishing, 2017

ISBN 10 : 3330073055 ISBN 13 : 9783330073050

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Naeem KhalidThe author is working in Federal govt. Educational Institutions (Cantt./Garrison) from 1999. He is working as Head of Mathematics Department at Federal Govt. Degree College, Aziz Bhatti Road, Lahore Cantt., Punjab, Pakist. N� de r�f. du vendeur 151236386

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Soft Set Theory & Soft Sigma Algebras

Khalid Naeem

Edit� par LAP LAMBERT Academic Publishing Apr 2017, 2017

ISBN 10 : 3330073055 ISBN 13 : 9783330073050

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -The work presented hereby is completed with help of Dr Muhammad Riaz, Department of Mathematics, University of The Punjab, Lahore, Pakistan and inspiration given by Dr Deeba Afzal, Department of Mathematics & Statistics, The University of Lahore, Pakistan. This notion of Soft Set Theory was introduced by Russian Researcher Molodtsov in 1999. There are many applications of soft set theory in a variety of fields including social sciences, physics, engineering, economics, computer science and medical sciences. Soft set theory is a generalization of crisp set theory. In the present work, we study soft topology on a soft set and extend various properties of crisp topology towards the soft topology. We study soft basis for the soft topology. We also study soft ring of sets, soft sigma ring, soft algebra, and soft sigma algebra. We study various set functions. Furthermore, we introduced the notion of measurable soft mappings. Moreover, we present some fundamental notions related to soft probability measure.VDM Verlag, Dudweiler Landstra�e 99, 66123 Saarbr�cken 116 pp. Englisch. N� de r�f. du vendeur 9783330073050

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Soft Set Theory & Soft Sigma Algebras

Khalid Naeem

Edit� par LAP LAMBERT Academic Publishing, 2017

ISBN 10 : 3330073055 ISBN 13 : 9783330073050

Neuf Taschenbuch

impression � la demande

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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The work presented hereby is completed with help of Dr Muhammad Riaz, Department of Mathematics, University of The Punjab, Lahore, Pakistan and inspiration given by Dr Deeba Afzal, Department of Mathematics & Statistics, The University of Lahore, Pakistan. This notion of Soft Set Theory was introduced by Russian Researcher Molodtsov in 1999. There are many applications of soft set theory in a variety of fields including social sciences, physics, engineering, economics, computer science and medical sciences. Soft set theory is a generalization of crisp set theory. In the present work, we study soft topology on a soft set and extend various properties of crisp topology towards the soft topology. We study soft basis for the soft topology. We also study soft ring of sets, soft sigma ring, soft algebra, and soft sigma algebra. We study various set functions. Furthermore, we introduced the notion of measurable soft mappings. Moreover, we present some fundamental notions related to soft probability measure. N� de r�f. du vendeur 9783330073050

Contacter le vendeur