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

Dear Colleagues,

Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor .

See http://fs.gallup.unm.edu/neutrosophy.htm

Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form

(x, neut(x), anti(x), that satisfy some axioms, for each element x in a given set.

See in the three links below more information.

This special session invites original research papers that report on 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, and several papers have been published in first rank international journals.

Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also interesting. For more information see the University of New Mexico websites:

• Neutrosophic Triplet Structures

http://fs.gallup.unm.edu/NeutrosophicTriplets.htm

• Neutrosophic Duplet Structures

http://fs.gallup.unm.edu/NeutrosophicDuplets.htm

• Neutrosophic Multiset Structures

http://fs.gallup.unm.edu/NeutrosophicMultisets.htm

Prof. Dr. Florentin Smarandache
Prof. Dr. Xiaohong Zhang
Dr. Mumtaz Ali
Guest Editors

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