Operations on Single-Valued Trapezoidal Neutrosophic Numbers using (α,β,γ)-Cuts “Maple Package”

Author(s):  
Mohamed Bisher Zeina ◽  
◽  
Omar Zeitouny ◽  
Fatina Masri ◽  
Fatima Kadoura ◽  
...  

In this paper, we present a Maple package called Neutrosophic, which allows users to do operations on trapezoidal and triangular neutrosophic numbers including summation, subtraction, division, and multiplication based on -cuts and plots the results, also the package allows users to rank numbers depending on ambiguity index and value index. This package is very useful in neutrosophic decision-making problems, neutrosophic probabilities, neutrosophic statistics, and in many other fields of neutrosophic researches.

2017 ◽  
Vol 22 (20) ◽  
pp. 6629-6643 ◽  
Author(s):  
Mohamed Abdel-Basset ◽  
Mai Mohamed ◽  
Abdel-Nasser Hussien ◽  
Arun Kumar Sangaiah

Symmetry ◽  
2019 ◽  
Vol 11 (7) ◽  
pp. 888
Author(s):  
Xiang Li ◽  
Xianjiu Huang

Three-way decisions, as a decision-making mode which is consistent with human cognition, have been widely used in various fields. In this paper, we fuse the theory of reliability into the three-way decisions method, replace the conditional probability in the three-way decisions method with reliability, and then propose a novel three-way decisions method. We also describe the loss functions with single-valued triangular neutrosophic numbers (SVTNNs) and propose an operator to calculate the score function of triangular neutrosophic numbers. Then, the result of decision is attained according to the principle of minimizing loss. Finally, we apply this method to the overhaul of machines in a factory, which proves the practicability and effectiveness of the proposed methods.


Kybernetes ◽  
2019 ◽  
Vol 49 (9) ◽  
pp. 2221-2240
Author(s):  
Qinghua Gan ◽  
Shumei Chen

Purpose Environmental crises and resource shortage have been matters of concern worldwide particularly, as the beginning of the twenty-first century. Remanufacturing can be one of the best approaches to promoting the development of circular economy and realizing the efficient use of resources. However, research studies indicate that the general public still remains unaware of the merits of remanufactured products. Hence, investigating main motivations of consumers to purchase remanufactured products is certainly worth exploring. The purpose of this paper is to find out consumers’ key motivations to purchase remanufactured products. A new multi-attributes decision-making method based on prospect theory (PT) is conducted. Design/methodology/approach Firstly, according to the prior literature, 12 main factors that influence consumers to purchase a remanufactured product are selected. Then, the single valued triangular neutrosophic numbers and triangular neutrosophic weighted geometric averaging operator are applied to rank them. Secondly, a multi-attribute decision-making method with PT is used to evaluate the utilities of new and remanufactured products, respectively. Based on the utilities, consumers’ preferred choice between the new and remanufactured products can be elicited. Findings The proposed method has been applied to a real survey. The results demonstrate that the proposed method is not only capable of recognizing the consumers’ key motivations for purchasing a remanufactured product but also able to deal with the ranking of the new and remanufactured products. Originality/value The contributions of this paper are threefold. Firstly, this paper attempts to explore the main motivations that encourage consumers to purchase a remanufactured product, instead of a new one. Secondly, the proposed method is established based on PT, taking consumers’ psychological behavior into consideration, which can obtain a relatively reasonable result. Thirdly, it can enrich the remanufacturing literature, serving as a guideline for consumers when purchasing a remanufactured product. In addition, this paper can help the remanufacturers make pricing and production decisions where necessary.


2018 ◽  
Vol 41 ◽  
Author(s):  
Patrick Simen ◽  
Fuat Balcı

AbstractRahnev & Denison (R&D) argue against normative theories and in favor of a more descriptive “standard observer model” of perceptual decision making. We agree with the authors in many respects, but we argue that optimality (specifically, reward-rate maximization) has proved demonstrably useful as a hypothesis, contrary to the authors’ claims.


2018 ◽  
Vol 41 ◽  
Author(s):  
David Danks

AbstractThe target article uses a mathematical framework derived from Bayesian decision making to demonstrate suboptimal decision making but then attributes psychological reality to the framework components. Rahnev & Denison's (R&D) positive proposal thus risks ignoring plausible psychological theories that could implement complex perceptual decision making. We must be careful not to slide from success with an analytical tool to the reality of the tool components.


2018 ◽  
Vol 41 ◽  
Author(s):  
Kevin Arceneaux

AbstractIntuitions guide decision-making, and looking to the evolutionary history of humans illuminates why some behavioral responses are more intuitive than others. Yet a place remains for cognitive processes to second-guess intuitive responses – that is, to be reflective – and individual differences abound in automatic, intuitive processing as well.


2014 ◽  
Vol 38 (01) ◽  
pp. 46
Author(s):  
David R. Shanks ◽  
Ben R. Newell

2014 ◽  
Vol 38 (01) ◽  
pp. 48
Author(s):  
David R. Shanks ◽  
Ben R. Newell

2020 ◽  
Vol 43 ◽  
Author(s):  
Valerie F. Reyna ◽  
David A. Broniatowski

Abstract Gilead et al. offer a thoughtful and much-needed treatment of abstraction. However, it fails to build on an extensive literature on abstraction, representational diversity, neurocognition, and psychopathology that provides important constraints and alternative evidence-based conceptions. We draw on conceptions in software engineering, socio-technical systems engineering, and a neurocognitive theory with abstract representations of gist at its core, fuzzy-trace theory.


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