TOPSIS Strategy for Multi-Attribute Decision Making with Trapezoidal Neutrosophic Numbers
Title | TOPSIS Strategy for Multi-Attribute Decision Making with Trapezoidal Neutrosophic Numbers PDF eBook |
Author | Pranab Biswas |
Publisher | Infinite Study |
Pages | 11 |
Release | |
Genre | |
ISBN |
Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is a popular strategy for Multi-Attribute Decision Making (MADM). In this paper, we extend the TOPSIS strategy of MADM problems in trapezoidal neutrosophic number environment.
TOPSIS Strategy for Multi-Attribute Decision Making with Trapezoidal Neutrosophic Numbers
Title | TOPSIS Strategy for Multi-Attribute Decision Making with Trapezoidal Neutrosophic Numbers PDF eBook |
Author | Pranab Biswas |
Publisher | Infinite Study |
Pages | 11 |
Release | |
Genre | Mathematics |
ISBN |
Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is a popular strategy for Multi-Attribute Decision Making (MADM). In this paper, we extend the TOPSIS strategy of MADM problems in trapezoidal neutrosophic number environment.
TOPSIS Method for MADM based on Interval Trapezoidal Neutrosophic Number
Title | TOPSIS Method for MADM based on Interval Trapezoidal Neutrosophic Number PDF eBook |
Author | Bibhas C. Giri |
Publisher | Infinite Study |
Pages | 17 |
Release | |
Genre | Mathematics |
ISBN |
TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) is a very common method for Multiple Attribute Decision Making (MADM) problem in crisp as well as uncertain environment. The interval trapezoidal neutrosophic number can handle incomplete, indeterminate and inconsistent information which are generally occurred in uncertain environment.
VIKOR based MAGDM Strategy with Trapezoidal Neutrosophic Numbers
Title | VIKOR based MAGDM Strategy with Trapezoidal Neutrosophic Numbers PDF eBook |
Author | Surapati Pramanik |
Publisher | Infinite Study |
Pages | 13 |
Release | |
Genre | Mathematics |
ISBN |
VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) is a popular strategy for multi- attribute decision making (MADM). We extend the VIKOR strategy for MAGDM problems in trapezoidal neutrosophic number environment. In decision making situation, single-valued trapezoidal neutrosophic numbers are employed to express the attribute values. Then we develop an extended VIKOR strategy to deal with MAGDM in single-valued trapezoidal neutrosophic number environment. The influence of decision-making mechanism coefficient is presented. To illustrate and validate the proposed VIKOR strategy, an illustrative numerical example of MAGDM problem is solved in trapezoidal neutrosophic number environment.
TODIM strategy formulti-attribute group decisionmaking in trapezoidal neutrosophic number environment
Title | TODIM strategy formulti-attribute group decisionmaking in trapezoidal neutrosophic number environment PDF eBook |
Author | Surapati Pramanik |
Publisher | Infinite Study |
Pages | 12 |
Release | |
Genre | Mathematics |
ISBN |
Many multi-attribute group decision-making (MAGDM) strategies have been introduced in the literature to deal with decisionmaking problems in uncertain environment. Many of them are based on fuzzy numbers and they are not able to cope with indeterminacy and inconsistency involving in decision making. In recent years, some neutrosophic multi-attribute group decision-making strategies have been successfully developed to deal with uncertainty, indeterminacy, and inconsistency in decision making. Among them, TODIM (an acronym in Portuguese of interactive and multiple attribute decision making) strategy based on prospect theory has received more attention due to its great performance in considering the bounded rationality of decision makers. In this paper, we develop a TODIM strategy to deal with multi-attribute group decisionmaking problem in trapezoidal neutrosophic numbers environment. To establish the TODIM strategy, we employ score function, accuracy function, and Hamming distance function for trapezoidal neutrosophic numbers. Lastly, we solve an illustrative numerical example to show the applicability and usefulness of the proposed strategy. A comparison analysis is also provided.
Neutrosophic Sets and Systems, vol. 19/2018
Title | Neutrosophic Sets and Systems, vol. 19/2018 PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 143 |
Release | |
Genre | Mathematics |
ISBN |
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
Optimization Theory Based on Neutrosophic and Plithogenic Sets
Title | Optimization Theory Based on Neutrosophic and Plithogenic Sets PDF eBook |
Author | Florentin Smarandache |
Publisher | Academic Press |
Pages | 448 |
Release | 2020-01-14 |
Genre | Mathematics |
ISBN | 0128199083 |
Optimization Theory Based on Neutrosophic and Plithogenic Sets presents the state-of-the-art research on neutrosophic and plithogenic theories and their applications in various optimization fields. Its table of contents covers new concepts, methods, algorithms, modelling, and applications of green supply chain, inventory control problems, assignment problems, transportation problem, nonlinear problems and new information related to optimization for the topic from the theoretical and applied viewpoints in neutrosophic sets and logic. - All essential topics about neutrosophic optimization and Plithogenic sets make this volume the only single source of comprehensive information - New and innovative theories help researchers solve problems under diverse optimization environments - Varied applications address practitioner fields such as computational intelligence, image processing, medical diagnosis, fault diagnosis, and optimization design