scholarly journals Solving a Fuzzy Linear Equation with a Variable, Using the Expected Interval of a Fuzzy Number

Author(s):  
Richard Abramonte ◽  
Eder Escobar ◽  
Antenor Aliaga ◽  
Flabio Gutierrez

In this work, a fuzzy linear equation AX + B = 0, is solved, were A, B y C are triangular diffuse numbers, could also be trapezoidal. For this type of equations there are several solution methods, the classic method that does not always obtain solutions, the most used is the method of alpha cuts and arithmetic intervals that although it always finds a solution, as a value is taken closer to zero (more inaccurate), the solution satisfies less to the equation. The new method using the expected interval, allows to obtain a smaller support set where the solutions come closer to satisfying the equation, also allows to find a single interval where the best solutions for decision making are expected to be found. It is recommended to study the incorporation of the concept of the expected interval in the methods to solve systems of fuzzy linear equations

1940 ◽  
Vol 13 (4) ◽  
pp. 931-935
Author(s):  
R. A. Hublin

Abstract A new reagent, o-nitroanisol, makes it possible to determine the total filler content of vulcanized rubber much more rapidly and more precisely than heretofore. In addition, the procedure is easier than that of the classic method. It would therefore be desirable if the method of determining fillers by solution of the rubber, which can now be carried out so easily, were to be used in many cases in place of incineration methods, which, in spite of being rapid, are very inaccurate, and also if the new method were to be used in place of the ordinary, relatively inconvenient solution methods.


2005 ◽  
Vol 27 (3) ◽  
pp. 533-551
Author(s):  
André Lecours

The formulation of a policy that will satisfy several values and interests more or less compatible is a classic problem of political decision making. This phenomenon by which there can be, in a foreign policy issue for example, several divergent values and interests was named value-complexity by Alexander George. When facing a value complexity problem, a decision maker must choose some values and some interests over others. The choice he makes will not necessarily be the one made by other decision makers. This can result in a serious impediment to the decision making process. The American foreign policy towards the Middle East faced, for the major part of the Cold War era, a value-complexity problem because it looked to reconcile four hard-to reconcile values and interests. The Reagan government was confronted rather acutely with this problem in the making of its Iranian policies. The administration was split in at least two factions over Iran : one who thought primarily of containing the Soviet Union in the Middle East region and the other for whom the political stability of moderate regimes threatened by revolutionnary Iran should be the most important priority. The existence of these factions, consequence of value-complexity, produced the making and the implementation of two distinct Iranian policies.


2018 ◽  
Vol 188 ◽  
pp. 888-899 ◽  
Author(s):  
Rita de Cássia Monteiro Marzullo ◽  
Patricia Helena Lara dos Santos Matai ◽  
Dione Mari Morita

2021 ◽  
pp. 1-17
Author(s):  
Changlin Xu ◽  
Juhong Shen

 Higher-order fuzzy decision-making methods have become powerful tools to support decision-makers in solving their problems effectively by reflecting uncertainty in calculations better than crisp sets in the last 3 decades. Fermatean fuzzy set proposed by Senapati and Yager, which can easily process uncertain information in decision making, pattern recognition, medical diagnosis et al., is extension of intuitionistic fuzzy set and Pythagorean fuzzy set by relaxing the restraint conditions of the support for degrees and support against degrees. In this paper, we focus on the similarity measures of Fermatean fuzzy sets. The definitions of the Fermatean fuzzy sets similarity measures and its weighted similarity measures on discrete and continuous universes are given in turn. Then, the basic properties of the presented similarity measures are discussed. Afterward, a decision-making process under the Fermatean fuzzy environment based on TOPSIS method is established, and a new method based on the proposed Fermatean fuzzy sets similarity measures is designed to solve the problems of medical diagnosis. Ultimately, an interpretative multi-criteria decision making example and two medical diagnosis examples are provided to demonstrate the viability and effectiveness of the proposed method. Through comparing the different methods in the multi-criteria decision making and the medical diagnosis application, it is found that the new method is as efficient as the other methods. These results illustrate that the proposed method is practical in dealing with the decision making problems and medical diagnosis problems.


2021 ◽  
Author(s):  
Joseph Heffner ◽  
Jae-Young Son ◽  
Oriel FeldmanHall

People make decisions based on deviations from expected outcomes, known as prediction errors. Past work has focused on reward prediction errors, largely ignoring violations of expected emotional experiences—emotion prediction errors. We leverage a new method to measure real-time fluctuations in emotion as people decide to punish or forgive others. Across four studies (N=1,016), we reveal that emotion and reward prediction errors have distinguishable contributions to choice, such that emotion prediction errors exert the strongest impact during decision-making. We additionally find that a choice to punish or forgive can be decoded in less than a second from an evolving emotional response, suggesting emotions swiftly influence choice. Finally, individuals reporting significant levels of depression exhibit selective impairments in using emotion—but not reward—prediction errors. Evidence for emotion prediction errors potently guiding social behaviors challenge standard decision-making models that have focused solely on reward.


2021 ◽  
Author(s):  
Aaron Tung

Abstract Values are what stakeholders regard to be important to decisions (Kruglanski & Higgins 2007). How stakeholder prioritize, rank, balance, and trade-off values can have significant influence on their reasoning and evaluation of decommissioning outcomes and decisions. Stakeholder values can vary depending on various factors including religious beliefs, personal interests, and past experiences (Lechner et al., 2017). Value-focused thinking is a decision science theory developed by Keeney (1992) which builds upon the concept of varying stakeholder values. Keeney (1992) argues that the best decision is one that best reflects the actual values of stakeholders. which suggests that the acceptability of decommissioning decisions (full removal, partial removal, leave in-situ, rigs-to-reefs, etc.) by stakeholders will vary depending on the values of stakeholder in that particular context. This paper explores the idea of value-focused thinking and derive implications for decommissioning decision-making. Overall, the research finding suggests that rather than basing a decommissioning decision solely on scientific evidence, there is also a need for the decommissioning decisions to be able to reflect the actual values of stakeholders in that particular context. The criteria and weightage of the adopted multi-criteria decision analysis tool, for example, should accurately represent the actual values of stakeholders, so as to enable the tool to produce outcomes and decisions that has a higher probability of stakeholder acceptance.


Symmetry ◽  
2018 ◽  
Vol 10 (10) ◽  
pp. 497 ◽  
Author(s):  
Jie Wang ◽  
Guiwu Wei ◽  
Mao Lu

In this article, we combine the original VIKOR model with a triangular fuzzy neutrosophic set to propose the triangular fuzzy neutrosophic VIKOR method. In the extended method, we use the triangular fuzzy neutrosophic numbers (TFNNs) to present the criteria values in multiple criteria group decision making (MCGDM) problems. Firstly, we summarily introduce the fundamental concepts, operation formulas and distance calculating method of TFNNs. Then we review some aggregation operators of TFNNs. Thereafter, we extend the original VIKOR model to the triangular fuzzy neutrosophic environment and introduce the calculating steps of the TFNNs VIKOR method, our proposed method which is more reasonable and scientific for considering the conflicting criteria. Furthermore, a numerical example for potential evaluation of emerging technology commercialization is presented to illustrate the new method, and some comparisons are also conducted to further illustrate advantages of the new method.


Sign in / Sign up

Export Citation Format

Share Document