一类新的中性线性代数
New classes of Neutrosophic Linear Algebras
摘要:
这本书分为七章。第一章为绪论。第二章介绍了仿射集线性代数和仿射仿射集线性代数的概念,并分析了它们的性质。第三章介绍了代数半群线性代数和代数群线性代数的概念。本章对它们的子结构进行了系统的研究。第四章介绍了模糊群线性代数、模糊半群线性代数和模糊集线性代数的模糊模拟。第五章介绍了代数群双向量空间、代数半群线性代数、代数半群(双半群)线性代数和代数双集双向量空间的概念。第六章给出了这些概念的模糊类比。这本书的一个有趣的特点是它包含了近424个这些新概念的例子。最后一章提出了160多个问题,这是本书的另一个有趣的特点。
英文摘要:
This book is organized into seven chapters. Chapter one is introductory in content. The notion of neutrosophic set linear algebras and neutrosophic neutrosophic set linear algebras are introduced and their properties analysed in chapter two. Chapter three introduces the notion of neutrosophic semigroup linear algebras and neutrosophic group linear algebras. A study of their substructures are systematically carried out in this chapter. The fuzzy analogue of neutrosophic group linear algebras, neutrosophic semigroup linear algebras and neutrosophic set linear algebras are introduced in chapter four of this book. Chapter five introduces the concept of neutrosophic group bivector spaces, neutrosophic bigroup linear algebras, neutrosophic semigroup (bisemigroup) linear algebras and neutrosophic biset bivector spaces. The fuzzy analogue of these concepts are given in chapter six. An interesting feature of this book is it contains nearly 424 examples of these new notions. The final chapter suggests over 160 problems which is another interesting feature of this book.
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