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  • 1
    Publication Date: 2022-01-31
    Description: 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.
    Keywords: QA1-939 ; Q1-390 ; similarity measure ; generalized partitioned Bonferroni mean operator ; normal distribution ; school administrator ; complex neutrosophic set ; expert set ; neutrosophic classification ; multi-attribute decision-making (MADM) ; multi-criteria decision-making (MCDM) techniques ; criterion functions ; matrix representation ; possibility degree ; quantum computation ; typhoon disaster evaluation ; NT-subgroup ; generalized neutrosophic ideal ; three-way decisions ; decision-making ; G-metric ; multiple attribute group decision-making (MAGDM) ; SVM ; semi-neutrosophic triplets ; LA-semihypergroups ; power operator ; fuzzy graph ; neutrosophic cubic graphs ; LNGPBM operator ; neutrosophic c-means clustering ; (commutative) ideal ; region growing ; clustering algorithm ; Neutrosophic cubic sets ; forecasting ; vector similarity measure ; totally dependent-neutrosophic soft set ; Fenyves identities ; TODIM model ; similarity measures ; CI-algebra ; Dice measure ; de-neutrosophication methods ; DSmT ; semigroup ; VIKOR model ; multigranulation neutrosophic rough set (MNRS) ; simplified neutrosophic linguistic numbers ; Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) ; multi-criteria group decision making ; multi-attribute group decision-making (MAGDM) ; exponential operational laws of interval neutrosophic numbers ; simplified neutrosophic weighted averaging operator ; neutro-epimorphism ; Choquet integral ; fixed point theory (FPT) ; computability ; neutrosophic triplet set ; interval-valued neutrosophic set ; simplified neutrosophic sets (SNSs) ; totally dependent-neutrosophic set ; Maclaurin symmetric mean ; recursive enumerability ; loop ; photovoltaic plan ; intersection ; neutrosophic bipolar fuzzy set ; big data ; inclusion relation ; dual aggregation operators ; Hamming distance ; neutro-automorphism ; neutrosophic set theory ; multiple attribute decision-making ; multicriteria decision-making ; pseudo primitive elements ; medical diagnosis ; neutrosophic G-metric ; bipolar fuzzy set ; NC power dual MM operator (NCPDMM) operator ; neutrosophic sets (NSs) ; emerging technology commercialization ; neutrosophic triplet groups ; probabilistic rough sets over two universes ; neutrosophic triplet set (NTS) ; neutrosophic triplet cosets ; MM operator ; TOPSIS ; cloud model ; extended ELECTRE III ; extended TOPSIS method ; 2ingle-valued neutrosophic set ; dual domains ; probabilistic single-valued (interval) neutrosophic hesitant fuzzy set ; Jaccard measure ; data mining ; BE-algebra ; neutrosophic soft set ; aggregation operators ; image segmentation ; multiple attribute decision making (MADM) ; neutrosophic duplets ; fundamental neutro-homomorphism theorem ; neutro-homomorphism ; power aggregation operator ; linear and non-linear neutrosophic number ; multi-attribute decision making ; first neutro-isomorphism theorem ; MCGDM problems ; neutrosophic bipolar fuzzy weighted averaging operator ; Bonferroni mean ; analytic hierarchy process (AHP) ; quasigroup ; action learning ; weak commutative neutrosophic triplet group ; generalized aggregation operators ; single valued neutrosophic multiset (SVNM) ; sustainable supplier selection problems (SSSPs) ; LNGWPBM operator ; skin cancer ; oracle computation ; n/a ; fault diagnosis ; interval valued neutrosophic support soft sets ; neutrosophic triplet normal subgroups ; soft set ; multi-criteria decision-making ; neutrosophic triplet ; generalized group ; neutrosophic multiset (NM) ; two universes ; algorithm ; multi-attribute decision making (MADM) ; PA operator ; BCI-algebra ; neutrosophic triplet group (NTG) ; single valued trapezoidal neutrosophic number ; quasi neutrosophic triplet loop ; neutrosophy ; complex neutrosophic graph ; S-semigroup of neutrosophic triplets ; and second neutro-isomorphism theorem ; MADM ; dermoscopy ; linguistic neutrosophic sets ; defuzzification ; construction project ; potential evaluation ; neutrosophic big data ; decision-making algorithms ; neutosophic extended triplet subgroups ; applications of neutrosophic cubic graphs ; fuzzy time series ; TFNNs VIKOR method ; two-factor fuzzy logical relationship ; oracle Turing machines ; grasp type ; interval neutrosophic sets ; multi-criteria group decision-making ; interval neutrosophic weighted exponential aggregation (INWEA) operator ; power aggregation operators ; neutrosophic triplet group ; MGNRS ; 2-tuple linguistic neutrosophic sets (2TLNSs) ; computation ; filter ; multi-valued neutrosophic set ; integrated weight ; Bol-Moufang ; prioritized operator ; interval number ; logic ; pseudo-BCI algebra ; interval neutrosophic set (INS) ; neutrosophic rough set ; soft sets ; Q-neutrosophic ; Linguistic neutrosophic sets ; fuzzy measure ; homomorphism theorem ; commutative generalized neutrosophic ideal ; neutrosophic association rule ; shopping mall ; dependent degree ; Q-linguistic neutrosophic variable set ; quasi neutrosophic loops ; symmetry ; neutrosophic sets ; neutrosophic logic ; neutrosophic cubic set ; complement ; robotic dexterous hands ; neutro-monomorphism ; group ; analytic network process ; Muirhead mean ; maximizing deviation ; classical group of neutrosophic triplets ; neutrosophic triplet quotient groups ; generalized neutrosophic set ; multi-criteria group decision-making (MCGDM) ; support soft sets ; decision making ; generalized De Morgan algebra ; multiple attribute group decision making (MAGDM) ; single-valued neutrosophic multisets ; 2TLNNs TODIM method ; membership ; grasping configurations ; single valued neutrosophic set (SVNS) ; multiple attribute decision making problem ; SWOT analysis ; neutrosophic clustering ; hesitant fuzzy set ; interval neutrosophic numbers (INNs) ; quasi neutrosophic triplet group ; triangular fuzzy neutrosophic sets (TFNSs) ; interdependency of criteria ; aggregation operator ; cosine measure ; neutrosophic set ; neutrosophic computation ; decision-making trial and evaluation laboratory (DEMATEL) ; partial metric spaces (PMS) ; NCPMM operator ; clustering
    Language: English
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  • 2
    Publication Date: 2023-12-20
    Description: 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.
    Keywords: QA1-939 ; Q1-390 ; similarity measure ; generalized partitioned Bonferroni mean operator ; normal distribution ; school administrator ; complex neutrosophic set ; expert set ; neutrosophic classification ; multi-attribute decision-making (MADM) ; multi-criteria decision-making (MCDM) techniques ; criterion functions ; matrix representation ; possibility degree ; quantum computation ; typhoon disaster evaluation ; NT-subgroup ; generalized neutrosophic ideal ; three-way decisions ; decision-making ; G-metric ; multiple attribute group decision-making (MAGDM) ; SVM ; semi-neutrosophic triplets ; LA-semihypergroups ; power operator ; fuzzy graph ; neutrosophic cubic graphs ; LNGPBM operator ; neutrosophic c-means clustering ; (commutative) ideal ; region growing ; clustering algorithm ; Neutrosophic cubic sets ; forecasting ; vector similarity measure ; totally dependent-neutrosophic soft set ; Fenyves identities ; TODIM model ; similarity measures ; CI-algebra ; Dice measure ; de-neutrosophication methods ; DSmT ; semigroup ; VIKOR model ; multigranulation neutrosophic rough set (MNRS) ; simplified neutrosophic linguistic numbers ; Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) ; multi-criteria group decision making ; multi-attribute group decision-making (MAGDM) ; exponential operational laws of interval neutrosophic numbers ; simplified neutrosophic weighted averaging operator ; neutro-epimorphism ; Choquet integral ; fixed point theory (FPT) ; computability ; neutrosophic triplet set ; interval-valued neutrosophic set ; simplified neutrosophic sets (SNSs) ; totally dependent-neutrosophic set ; Maclaurin symmetric mean ; recursive enumerability ; loop ; photovoltaic plan ; intersection ; neutrosophic bipolar fuzzy set ; big data ; inclusion relation ; dual aggregation operators ; Hamming distance ; neutro-automorphism ; neutrosophic set theory ; multiple attribute decision-making ; multicriteria decision-making ; pseudo primitive elements ; medical diagnosis ; neutrosophic G-metric ; bipolar fuzzy set ; NC power dual MM operator (NCPDMM) operator ; neutrosophic sets (NSs) ; emerging technology commercialization ; neutrosophic triplet groups ; probabilistic rough sets over two universes ; neutrosophic triplet set (NTS) ; neutrosophic triplet cosets ; MM operator ; TOPSIS ; cloud model ; extended ELECTRE III ; extended TOPSIS method ; 2ingle-valued neutrosophic set ; dual domains ; probabilistic single-valued (interval) neutrosophic hesitant fuzzy set ; Jaccard measure ; data mining ; BE-algebra ; neutrosophic soft set ; aggregation operators ; image segmentation ; multiple attribute decision making (MADM) ; neutrosophic duplets ; fundamental neutro-homomorphism theorem ; neutro-homomorphism ; power aggregation operator ; linear and non-linear neutrosophic number ; multi-attribute decision making ; first neutro-isomorphism theorem ; MCGDM problems ; neutrosophic bipolar fuzzy weighted averaging operator ; Bonferroni mean ; analytic hierarchy process (AHP) ; quasigroup ; action learning ; weak commutative neutrosophic triplet group ; generalized aggregation operators ; single valued neutrosophic multiset (SVNM) ; sustainable supplier selection problems (SSSPs) ; LNGWPBM operator ; skin cancer ; oracle computation ; fault diagnosis ; interval valued neutrosophic support soft sets ; neutrosophic triplet normal subgroups ; soft set ; multi-criteria decision-making ; neutrosophic triplet ; generalized group ; neutrosophic multiset (NM) ; two universes ; algorithm ; multi-attribute decision making (MADM) ; PA operator ; BCI-algebra ; neutrosophic triplet group (NTG) ; single valued trapezoidal neutrosophic number ; quasi neutrosophic triplet loop ; neutrosophy ; complex neutrosophic graph ; S-semigroup of neutrosophic triplets ; and second neutro-isomorphism theorem ; MADM ; dermoscopy ; linguistic neutrosophic sets ; defuzzification ; construction project ; potential evaluation ; neutrosophic big data ; decision-making algorithms ; neutosophic extended triplet subgroups ; applications of neutrosophic cubic graphs ; fuzzy time series ; TFNNs VIKOR method ; two-factor fuzzy logical relationship ; oracle Turing machines ; grasp type ; interval neutrosophic sets ; multi-criteria group decision-making ; interval neutrosophic weighted exponential aggregation (INWEA) operator ; power aggregation operators ; neutrosophic triplet group ; MGNRS ; 2-tuple linguistic neutrosophic sets (2TLNSs) ; computation ; filter ; multi-valued neutrosophic set ; integrated weight ; Bol-Moufang ; prioritized operator ; interval number ; logic ; pseudo-BCI algebra ; interval neutrosophic set (INS) ; neutrosophic rough set ; soft sets ; Q-neutrosophic ; Linguistic neutrosophic sets ; fuzzy measure ; homomorphism theorem ; commutative generalized neutrosophic ideal ; neutrosophic association rule ; shopping mall ; dependent degree ; Q-linguistic neutrosophic variable set ; quasi neutrosophic loops ; symmetry ; neutrosophic sets ; neutrosophic logic ; neutrosophic cubic set ; complement ; robotic dexterous hands ; neutro-monomorphism ; group ; analytic network process ; Muirhead mean ; maximizing deviation ; classical group of neutrosophic triplets ; neutrosophic triplet quotient groups ; generalized neutrosophic set ; multi-criteria group decision-making (MCGDM) ; support soft sets ; decision making ; generalized De Morgan algebra ; multiple attribute group decision making (MAGDM) ; single-valued neutrosophic multisets ; 2TLNNs TODIM method ; membership ; grasping configurations ; single valued neutrosophic set (SVNS) ; multiple attribute decision making problem ; SWOT analysis ; neutrosophic clustering ; hesitant fuzzy set ; interval neutrosophic numbers (INNs) ; quasi neutrosophic triplet group ; triangular fuzzy neutrosophic sets (TFNSs) ; interdependency of criteria ; aggregation operator ; cosine measure ; neutrosophic set ; neutrosophic computation ; decision-making trial and evaluation laboratory (DEMATEL) ; partial metric spaces (PMS) ; NCPMM operator ; clustering ; bic Book Industry Communication::P Mathematics & science
    Language: English
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    Location Call Number Expected Availability
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