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Cogent Mathematics
Article . 2017 . Peer-reviewed
License: CC BY
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image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
Cogent Mathematics
Article
License: CC BY
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https://dx.doi.org/10.60692/rg...
Other literature type . 2017
Data sources: Datacite
https://dx.doi.org/10.60692/rm...
Other literature type . 2017
Data sources: Datacite
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Interval-valued Pythagorean fuzzy geometric aggregation operators and their application to group decision making problem

مشغلي التجميع الهندسي الغامض الفاصل الزمني في فيثاغورس وتطبيقهم على مشكلة اتخاذ القرار الجماعي
Authors: K. Rahman; Saleem Abdullah; Muhammad Shakeel; Madad Khan; M. Shahbaz Ullah;

Interval-valued Pythagorean fuzzy geometric aggregation operators and their application to group decision making problem

Abstract

De nombreux opérateurs d'agrégation ont été définis à ce jour, mais dans ce travail, nous définissons l'opérateur géométrique pondéré flou de Pythagore à valeur d'intervalle (IPFWG), l'opérateur géométrique pondéré ordonné flou de Pythagore à valeur d'intervalle (IPFOWG) et l'opérateur géométrique hybride flou de Pythagore à valeur d'intervalle. Nous discutons également de certaines propriétés et donnons quelques exemples également pour développer ces opérateurs. Enfin, nous appliquons l'opérateur IPFWG à valeur d'intervalle et l'opérateur IPFOWG à valeur d'intervalle à un problème de prise de décision à attributs multiples sous l'information floue pythagoricienne à valeur d'intervalle.

Hay muchos operadores de agregación que se han definido hasta la fecha, pero en este trabajo, definimos el operador geométrico ponderado difuso pitagórico (IPFWG) con valor de intervalo, el operador geométrico ordenado difuso pitagórico (IPFOWG) con valor de intervalo y el operador geométrico híbrido difuso pitagórico con valor de intervalo. También discutimos algunas propiedades y damos algunos ejemplos también para desarrollar estos operadores. Por último, aplicamos el operador IPFWG de valor de intervalo y el operador IPFOWG de valor de intervalo al problema de toma de decisiones de atributos múltiples bajo la información difusa pitagórica de valor de intervalo.

There are many aggregation operators have been defined up to date, but in this work, we define the interval valued Pythagorean fuzzy weighted geometric (IPFWG) operator, the interval-valued Pythagorean fuzzy ordered weighted geometric (IPFOWG) operator, and the interval-valued Pythagorean fuzzy hybrid geometric operator. We also discuss some properties and give some examples also to develop these operators. At the last we apply the interval-valued IPFWG operator and the interval-valued IPFOWG operator to multiple attribute decision-making problem under the interval-valued Pythagorean fuzzy information.

هناك العديد من مشغلي التجميع الذين تم تحديدهم حتى الآن، ولكن في هذا العمل، نحدد مشغل فيثاغورس الهندسي الغامض (IPFWG) ذو القيمة الفاصلة، ومشغل فيثاغورس الهندسي الغامض (IPFOWG) ذو القيمة الفاصلة، ومشغل فيثاغورس الهندسي الغامض ذو القيمة الفاصلة. كما نناقش بعض الخصائص ونعطي بعض الأمثلة أيضًا لتطوير هؤلاء المشغلين. في النهاية، نطبق مشغل IPFWG ذي القيمة الفاصلة ومشغل IPFOWG ذي القيمة الفاصلة على مشكلة اتخاذ القرار متعددة السمات تحت معلومات فيثاغورس الغامضة ذات القيمة الفاصلة.

Keywords

Intuitionistic Fuzzy Sets, Artificial intelligence, Interval (graph theory), FOS: Political science, Social Sciences, Geometry, Organic chemistry, Group Decision Making, FOS: Law, Multi-Criteria Decision Making, Management Science and Operations Research, Management, Monitoring, Policy and Law, Decision Sciences, Multi-Objective Transportation Problem Optimization, Engineering, Group decision-making, Fuzzy Goal Programming, FOS: Mathematics, Political science, Pythagorean theorem, Algebra over a field, Group (periodic table), Mathematical optimization, Pure mathematics, Land-Use Suitability Assessment Using GIS, Computer science, Fuzzy logic, Chemistry, Control and Systems Engineering, Combinatorics, Environmental Science, Physical Sciences, Linear Fractional Programming, Law, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
110
Top 1%
Top 10%
Top 1%
gold