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

Volume 2

Florentin Smarandache, Xiaohong Zhang, Mumtaz Ali (Herausgeber)

Buch | Softcover

450 Seiten

2019
MDPI (Verlag)
978-3-03897-475-8 (ISBN)

Infos

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 .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.

Produkt-Details

• Erscheinungsdatum: 05.03.2022
• Verlagsort: Basel
• Sprache: englisch
• Maße: 170 x 244 mm
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Naturwissenschaften
• Schlagworte: 2ingle-valued neutrosophic set • 2TLNNs TODIM method • 2-tuple linguistic neutrosophic sets (2TLNSs) • Action Learning • aggregation operator • Aggregation Operators • algorithm • Analytic Hierarchy Process (AHP) • Analytic Network Process • and second neutro-isomorphism theorem • applications of neutrosophic cubic graphs • BCI-algebra • BE-algebra • Big Data • bipolar fuzzy set • Bol-Moufang • Bonferroni Mean • Choquet integral • CI-algebra • classical group of neutrosophic triplets • cloud model • Clustering • clustering algorithm • commutative generalized neutrosophic ideal • (commutative) ideal • complement • complex neutrosophic graph • complex neutrosophic set • Computability • Computation • construction project • cosine measure • criterion functions • Data Mining • Decision Making • Decision-Making • decision-making algorithms • decision-making trial and evaluation laboratory (DEMATEL) • DEFUZZIFICATION • de-neutrosophication methods • dependent degree • Dermoscopy • Dice measure • DSmT • dual aggregation operators • dual domains • emerging technology commercialization • expert set • exponential operational laws of interval neutrosophic numbers • extended ELECTRE III • extended TOPSIS method • Fault Diagnosis • Fenyves identities • Filter • first neutro-isomorphism theorem • fixed point theory (FPT) • Forecasting • fundamental neutro-homomorphism theorem • fuzzy graph • fuzzy measure • Fuzzy time series • generalized aggregation operators • generalized De Morgan algebra • generalized group • generalized neutrosophic ideal • generalized neutrosophic set • generalized partitioned Bonferroni mean operator • G-metric • grasping configurations • grasp type • Group • hamming distance • Hesitant Fuzzy Set • homomorphism theorem • Image Segmentation • inclusion relation • integrated weight • interdependency of criteria • Intersection • interval neutrosophic numbers (INNs) • interval neutrosophic set (INS) • interval neutrosophic sets • interval neutrosophic weighted exponential aggregation (INWEA) operator • interval number • interval-valued neutrosophic set • interval valued neutrosophic support soft sets • Jaccard measure • LA-semihypergroups • linear and non-linear neutrosophic number • Linguistic neutrosophic sets • LNGPBM operator • LNGWPBM operator • Logic • loop • Maclaurin symmetric mean • MADM • matrix representation • maximizing deviation • MCGDM problems • Medical Diagnosis • membership • MGNRS • MM operator • Muirhead mean • Multi-attribute decision making • multi-attribute decision making (MADM) • multi-attribute decision-making (MADM) • multi-attribute group decision-making (MAGDM) • Multicriteria decision-making • Multi-criteria Decision-Making • multi-criteria decision-making (MCDM) techniques • multi-criteria group decision making • multi-criteria group decision-making • multi-criteria group decision-making (MCGDM) • multigranulation neutrosophic rough set (MNRS) • multiple attribute decision-making • multiple attribute decision making (MADM) • multiple attribute decision making problem • multiple attribute group decision making (MAGDM) • multiple attribute group decision-making (MAGDM) • multi-valued neutrosophic set • N/A • NCPMM operator • NC power dual MM operator (NCPDMM) operator • neutosophic extended triplet subgroups • neutro-automorphism • neutro-epimorphism • neutro-homomorphism • neutro-monomorphism • neutrosophic association rule • neutrosophic big data • neutrosophic bipolar fuzzy set • neutrosophic bipolar fuzzy weighted averaging operator • neutrosophic classification • neutrosophic clustering • neutrosophic c-means clustering • neutrosophic computation • neutrosophic cubic graphs • neutrosophic cubic set • Neutrosophic cubic sets • neutrosophic duplets • neutrosophic G-metric • neutrosophic logic • neutrosophic multiset (NM) • neutrosophic rough set • Neutrosophic Set • Neutrosophic sets • neutrosophic sets (NSs) • neutrosophic set theory • neutrosophic soft set • neutrosophic triplet • neutrosophic triplet cosets • neutrosophic triplet group • neutrosophic triplet group (NTG) • neutrosophic triplet groups • neutrosophic triplet normal subgroups • neutrosophic triplet quotient groups • neutrosophic triplet set • neutrosophic triplet set (NTS) • neutrosophy • Normal distribution • NT-subgroup • oracle computation • oracle Turing machines • PA operator • partial metric spaces (PMS) • photovoltaic plan • possibility degree • potential evaluation • power aggregation operator • power aggregation operators • power operator • prioritized operator • probabilistic rough sets over two universes • probabilistic single-valued (interval) neutrosophic hesitant fuzzy set • pseudo-BCI algebra • pseudo primitive elements • Q-linguistic neutrosophic variable set • Q-neutrosophic • Quantum Computation • quasigroup • quasi neutrosophic loops • quasi neutrosophic triplet group • quasi neutrosophic triplet loop • recursive enumerability • Region Growing • robotic dexterous hands • school administrator • Semigroup • semi-neutrosophic triplets • Shopping mall • similarity measure • similarity measures • simplified neutrosophic linguistic numbers • simplified neutrosophic sets (SNSs) • simplified neutrosophic weighted averaging operator • single-valued neutrosophic multisets • single valued neutrosophic multiset (SVNM) • single valued neutrosophic set (SVNS) • single valued trapezoidal neutrosophic number • skin cancer • Soft Set • soft sets • S-semigroup of neutrosophic triplets • support soft sets • sustainable supplier selection problems (SSSPs) • SVM • SWOT analysis • symmetry • Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) • TFNNs VIKOR method • three-way decisions • TODIM model • topsis • totally dependent-neutrosophic set • totally dependent-neutrosophic soft set • triangular fuzzy neutrosophic sets (TFNSs) • two-factor fuzzy logical relationship • two universes • typhoon disaster evaluation • vector similarity measure • VIKOR model • weak commutative neutrosophic triplet group
• ISBN-10: 3-03897-475-7 / 3038974757
• ISBN-13: 978-3-03897-475-8 / 9783038974758
• Zustand: Neuware