An Equivalence Relation and Admissible Linear Orders in Decision Making

Interval-Valued Atanassov Intuitionistic OWA Aggregations Using Admissible Linear Orders and Their Application to Decision Making

IEEE Transactions on Fuzzy Systems ◽

10.1109/tfuzz.2016.2543744 ◽

2016 ◽

Vol 24 (6) ◽

pp. 1586-1597 ◽

Cited By ~ 20

Author(s):

Laura De Miguel ◽

Humberto Bustince ◽

Barbara Pekala ◽

Urszula Bentkowska ◽

Ivanosca Da Silva ◽

...

Keyword(s):

Decision Making ◽

Linear Orders ◽

Interval Valued

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Applications of rough soft sets to Krasner (m,n)-hyperrings and corresponding decision making methods

Filomat ◽

10.2298/fil1819599m ◽

2018 ◽

Vol 32 (19) ◽

pp. 6599-6614

Author(s):

Xueling Ma ◽

Jianming Zhan ◽

Bijan Davvaz

Keyword(s):

Decision Making ◽

Level Set ◽

Equivalence Relation ◽

Soft Sets

Let I be a normal hyperideal of a Krasner (m,n)-hyperring R, we define the relation ?I by x ?I y if and only if f (x,-y, (m-2)0)?I?0, which is an equivalence relation on R. By means of this idea, we propose rough soft hyperrings (hyperideals) with respect to a normal hyperideal in a Krasner (m,n)-hyperring. Some lower and upper rough soft hyperideals with respect to a normal hyperideal are investigated, respectively. Further, we define the t-level set U(?,t) = {(x,y) ? R x R| ? z?f(x,-y, (m-2)0) ?(z)? t} of a Krasner (m,n)-hyperring R and prove that it is an equivalence relation on R if ? is a fuzzy normal hyperideal of R. By means of this novel idea, we propose rough soft hyperideals by means of fuzzy normal hyperideals in Krasner (m,n)- hyperrings. Finally, two novel kinds of decision making methods to rough soft Krasner (m,n)-hyperrings are established.

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Equivalence class in the set of fuzzy numbers and its application in decision-making problems

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/ijmms/2006/74165 ◽

2006 ◽

Vol 2006 ◽

pp. 1-19 ◽

Cited By ~ 2

Author(s):

Geetanjali Panda ◽

Motilal Panigrahi ◽

Sudarsan Nanda

Keyword(s):

Decision Making ◽

Equivalence Class ◽

Equivalence Relation ◽

Fuzzy Numbers ◽

Fuzzy Decision Making ◽

Fuzzy Decision ◽

Arithmetic Operations ◽

Fuzzy Matrix ◽

Numerical Example

An equivalence relation is defined in the set of fuzzy numbers. In a particular equivalence class, arithmetic operations of fuzzy numbers are introduced. A fuzzy matrix with respect to a particular class and its associated crisp matrices are also introduced. The concept of equivalence class is applied in fuzzy decision-making problems and justified through a numerical example.

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Construction of admissible linear orders for interval-valued Atanassov intuitionistic fuzzy sets with an application to decision making

Information Fusion ◽

10.1016/j.inffus.2015.03.004 ◽

2016 ◽

Vol 27 ◽

pp. 189-197 ◽

Cited By ~ 50

Author(s):

L. De Miguel ◽

H. Bustince ◽

J. Fernandez ◽

E. Induráin ◽

A. Kolesárová ◽

...

Keyword(s):

Decision Making ◽

Fuzzy Sets ◽

Intuitionistic Fuzzy Sets ◽

Linear Orders ◽

Intuitionistic Fuzzy ◽

Atanassov Intuitionistic Fuzzy Sets ◽

Interval Valued

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Discarding optimality: Throwing out the baby with the bathwater?

Behavioral and Brain Sciences ◽

10.1017/s0140525x18001401 ◽

2018 ◽

Vol 41 ◽

Cited By ~ 1

Author(s):

Patrick Simen ◽

Fuat Balcı

Keyword(s):

Decision Making ◽

Perceptual Decision Making ◽

Reward Rate ◽

Perceptual Decision ◽

Standard Observer ◽

Rate Maximization ◽

Reward Rate Maximization ◽

Descriptive Standard ◽

Observer Model

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.

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LPCD framework: Analytical tool or psychological model?

Behavioral and Brain Sciences ◽

10.1017/s0140525x18001383 ◽

2018 ◽

Vol 41 ◽

Author(s):

David Danks

Keyword(s):

Decision Making ◽

Analytical Tool ◽

Mathematical Framework ◽

Bayesian Decision ◽

Perceptual Decision Making ◽

Psychological Model ◽

Psychological Reality ◽

Psychological Theories ◽

Target Article ◽

Bayesian Decision Making

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.

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Elaborating the role of reflection and individual differences in the study of folk-economic beliefs

Behavioral and Brain Sciences ◽

10.1017/s0140525x18000274 ◽

2018 ◽

Vol 41 ◽

Author(s):

Kevin Arceneaux

Keyword(s):

Decision Making ◽

Individual Differences ◽

Cognitive Processes ◽

Evolutionary History ◽

Behavioral Responses ◽

History Of ◽

Economic Beliefs

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.

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