Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets

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Tác giả: Mumtaz Ali, Florentin Smarandache, Xiaohong Zhang

Ngôn ngữ: eng

ISBN-13: 978-3038974758

ISBN: books9783038974765

Ký hiệu phân loại: 511.313 Fuzzy logic

Thông tin xuất bản: Basel, Switzerland : MDPI - Multidisciplinary Digital Publishing Institute, 2019

Mô tả vật lý: 1 electronic resource (450 p.)

Bộ sưu tập: Tài liệu truy cập mở

ID: 269152

 Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (<
 A>
 , <
 neutA>
 , <
 antiA>
 ), where <
 A>
  is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, <
 antiA>
  is the opposite of <
 A>
 , while <
 neutA>
  is the neutral (or indeterminate) between them, i.e., neither <
 A>
  nor <
 antiA>
 .Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set.This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures - that have been defined recently in 2016 but have gained interest from world researchers. Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. And numerous neutrosophic applications in various fields, such as: multi-criteria decision making, image segmentation, medical diagnosis, fault diagnosis, clustering data, neutrosophic probability, human resource management, strategic planning, forecasting model, multi-granulation, supplier selection problems, typhoon disaster evaluation, skin lesson detection, mining algorithm for big data analysis, etc.
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