Generalized Neutrosophic Soft Expert Set for Multiple-Criteria Decision-Making

Smarandache defined a neutrosophic set to handle problems involving incompleteness, indeterminacy, and awareness of inconsistency knowledge, and have further developed it neutrosophic soft expert sets. In this paper, this concept is further expanded to generalized neutrosophic soft expert set (GNSES). We then define its basic operations of complement, union, intersection, AND, OR, and study some related properties, with supporting proofs. Subsequently, we define a GNSES-aggregation operator to construct an algorithm for a GNSES decision-making method, which allows for a more efficient decision process. Finally, we apply the algorithm to a decision-making problem, to illustrate the effectiveness and practicality of the proposed concept. A comparative analysis with existing methods is done and the result affirms the flexibility and precision of our proposed method.

[1]  Václav Snásel,et al.  Medical Image Retrieval Using Vector Quantization and Fuzzy S-tree , 2016, Journal of Medical Systems.

[2]  Nasruddin Hassan,et al.  Neurogenetic Algorithm for Solving Combinatorial Engineering Problems , 2012, J. Appl. Math..

[3]  Nasruddin Hassan,et al.  Q-fuzzy soft matrix and its application , 2014 .

[4]  Mohammad Jalali Varnamkhasti,et al.  A hybrid of adaptive neuro-fuzzy inference system and genetic algorithm , 2013, J. Intell. Fuzzy Syst..

[5]  Nasruddin Hassan,et al.  Entropy, Measures of Distance and Similarity of Q-Neutrosophic Soft Sets and Some Applications , 2018, Entropy.

[6]  José Carlos Rodriguez Alcantud,et al.  N-soft sets and their decision making algorithms , 2017, Soft Computing.

[7]  Jesús Medina,et al.  Multi-adjoint t-concept lattices , 2010, Inf. Sci..

[8]  Nasruddin Hassan,et al.  Multiparameterized Soft Set , 2012 .

[9]  Nasruddin Hassan,et al.  Multi Q-fuzzy soft expert set and its application , 2016, J. Intell. Fuzzy Syst..

[10]  Jun Ye,et al.  Multiple Attribute Decision-Making Method Using Similarity Measures of Neutrosophic Cubic Sets , 2018, Symmetry.

[11]  Vakkas Uluçay,et al.  Neutrosophic Soft Expert Sets , 2015 .

[12]  Khaleed Alhazaymeh,et al.  VAGUE SOFT MULTISET THEORY , 2014 .

[13]  D. Molodtsov Soft set theory—First results , 1999 .

[14]  Nasruddin Hassan,et al.  Generalized interval-valued vague soft set , 2013 .

[15]  Jun Ye,et al.  Cosine Measures of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making , 2017, Symmetry.

[16]  Nasruddin Hassan,et al.  Q-fuzzy soft set , 2014 .

[17]  Nasruddin Hassan,et al.  Possibility Fuzzy Soft Set , 2011, Adv. Decis. Sci..

[18]  Nasruddin Hassan,et al.  Operations on Q-fuzzy soft set , 2014 .

[19]  Nasruddin Hassan,et al.  Soft Multisets Theory , 2011 .

[20]  Florentin Smarandache,et al.  Neutrosophic Parametrized Soft Set Theory and Its Decision Making , 2014 .

[21]  Pabitra Kumar Maji,et al.  Neutrosophic Soft Set , 2013 .

[22]  Nasruddin Hassan,et al.  Fuzzy parameterised single valued neutrosophic soft expert set theory and its application in decision making , 2016, Int. J. Appl. Decis. Sci..

[23]  Mehmet Sahin,et al.  Q-Neutrosophic Soft Expert Set and its Application in Decision Making , 2018, Int. J. Fuzzy Syst. Appl..

[24]  Nasruddin Hassan,et al.  Bipolar fuzzy soft expert set and its application in decision making , 2017, Int. J. Appl. Decis. Sci..

[25]  Tabasam Rashid,et al.  Group Decision Making Using Intuitionistic Hesitant Fuzzy Sets , 2014, Int. J. Fuzzy Log. Intell. Syst..

[26]  Muhammad Akram,et al.  Fuzzy N-soft sets: A novel model with applications , 2018, J. Intell. Fuzzy Syst..

[27]  Nasruddin Hassan,et al.  Q-Neutrosophic Soft Relation and Its Application in Decision Making , 2018, Entropy.

[28]  Nasruddin Hassan,et al.  Neutrosophic vague soft expert set theory , 2016, J. Intell. Fuzzy Syst..

[29]  Jun Ye,et al.  Multiple-Attribute Decision-Making Method Using Similarity Measures of Hesitant Linguistic Neutrosophic Numbers Regarding Least Common Multiple Cardinality , 2018, Symmetry.

[30]  Memet Sahin,et al.  Fixed Point Theorem for Neutrosophic Triplet Partial Metric Space , 2018, Symmetry.

[31]  A. R. Roy,et al.  Soft set theory , 2003 .

[32]  Nasruddin Hassan,et al.  Properties on the multi Q-fuzzy soft matrix , 2014 .

[33]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[34]  Khaleed Alhazaymeh,et al.  Vague soft expert set theory , 2013 .

[35]  Dharmender Kumar,et al.  A Hybrid Clustering Method Based on Improved Artificial Bee Colony and Fuzzy C-Means Algorithm , 2017 .

[36]  Dragan Pamučar,et al.  A Sensitivity analysis in MCDM problems: A statistical approach , 2018, Decision Making: Applications in Management and Engineering.

[37]  Feng Liu,et al.  A multicriteria model for the selection of the transport service provider: A single valued neutrosophic DEMATEL multicriteria model , 2018, Decision Making: Applications in Management and Engineering.

[38]  Khaleed Alhazaymeh,et al.  Soft intuitionistic fuzzy sets , 2012 .

[39]  Khaleed Alhazaymeh,et al.  MAPPING ON GENERALIZED VAGUE SOFT EXPERT SET , 2014 .

[40]  László T. Kóczy,et al.  Signatures: Definitions, operators and applications to fuzzy modelling , 2012, Fuzzy Sets Syst..

[41]  Nasruddin Hassan,et al.  Multi q-fuzzy soft set and its application , 2015 .

[42]  Nasruddin Hassan,et al.  Multi Q-fuzzy parameterized soft set and its application , 2014, J. Intell. Fuzzy Syst..

[43]  Muhammad Akram,et al.  Group decision-making methods based on hesitant N-soft sets , 2019, Expert Syst. Appl..

[44]  Mehmet Şahin,et al.  Neutrosophic triplet normed space , 2017 .

[45]  Florentin Smarandache,et al.  Neutrosophic set - a generalization of the intuitionistic fuzzy set , 2004, 2006 IEEE International Conference on Granular Computing.