Algebraic Structures of Neutrosophic Triplets Neutrosophic Duplets or Neutrosophic Multisets

<p>   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>.<br />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.<br />   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. <br />   Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. <br />   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. </p>