2021
DOI: 10.3390/math9172136
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Pythagorean Membership Grade Aggregation Operators: Application in Financial knowledge

Abstract: This paper presents the Pythagorean membership grade induced ordered weighted moving average (PMGIOWMA) operator with some particular cases and theorems. The main advantage of this new operator is that can include the knowledge, expectation, and aptitude of the decision maker into the Pythagorean membership function by using a weighting vector and induced variables. An application in financial knowledge based on a survey conducted in 13 provinces in Boyacá, Colombia, is presented.

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Cited by 3 publications
(3 citation statements)
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“…With the limitations outlined above, new approaches to guide future research can focus on modeling other complex and uncertain phenomena that can be represented with fuzzy numbers [44,45] (to be able to use crisp numbers), linguistic variables [46,47] (to be able to use endecadary scales), Pythagorean membership [48,49] (Pythagorean principles) and interval numbers [50,51], and induced [43,52] and heavy aggregations [53,54] (taking into account the attitude of the decision maker), where these methods have the potential to provide solutions for the treatment of highly complex scenarios.…”
Section: Discussionmentioning
confidence: 99%
“…With the limitations outlined above, new approaches to guide future research can focus on modeling other complex and uncertain phenomena that can be represented with fuzzy numbers [44,45] (to be able to use crisp numbers), linguistic variables [46,47] (to be able to use endecadary scales), Pythagorean membership [48,49] (Pythagorean principles) and interval numbers [50,51], and induced [43,52] and heavy aggregations [53,54] (taking into account the attitude of the decision maker), where these methods have the potential to provide solutions for the treatment of highly complex scenarios.…”
Section: Discussionmentioning
confidence: 99%
“…Esta clase de decisiones se dan, a razón de que el acceso a la información es limitado y, así mismo, las condiciones del ambiente son cambiantes. Como puede inferirse, otra característica de este tipo de decisiones radica en que las valuaciones y supuestos son altamente subjetivos; en ellos, la intuición y la actitud ejercen un rol notorio para completar la información faltante y hacer constructos lógicos sobre la realidad (Blanco-Mesa et al, 2021).…”
Section: Estrategia Y Toma De Decisiones En Incertidumbreunclassified
“…Así, desde la perspectiva del comportamiento y conocimiento de la educación financiera planteada por (Blanco-Mesa et al, 2021), subyacen dos conceptos relevantes, el ahorro y el crédito, en el cual, el primero es el resultado de una acción generada por la reserva de capital proveniente de los ingresos para su ejecución a futuro, en tanto que, el segundo, proviene de la financiación, con el fin de destinar sus recursos para propósitos de ejecución de planes de negocio o proyectos de inversión a nivel personal o empresarial.…”
Section: Educación Financieraunclassified