Using fuzzy numbers and OWA operators in the weighted average and its application in decision making

Se presenta un nuevo método para tratar situaciones de incertidumbre en los que se utiliza el operador OWAWA (media ponderada – media ponderada ordenada). A este operador se le denomina operador OWAWA borroso (FOWAWA). Su principal ventaja se encuentra en la posibilidad de representar la información incierta del problema mediante el uso de números borrosos los cuales permiten una mejor representación de la información ya que consideran el mínimo y el máximo resultado posible y la posibilidad de ocurrencia de los valores internos. Se estudian diferentes propiedades y casos particulares de este nuevo modelo. También se analiza la aplicabilidad de este operador y se desarrolla un ejemplo numérico sobre toma de decisiones en la selección de políticas fiscalesWe present a new approach for dealing with an uncertain environment when using the ordered weighted averaging – weighted averaging (OWAWA) operator. We call it the fuzzy OWAWA (FOWAWA) operator. The main advantage of this new aggregation operator is that it is able to represent the uncertain information with fuzzy numbers. Thus, we are able to give more complete information because we can consider the maximum and the minimum of the problem and the internal information between these two results. We study different properties and different particular cases of this approach. We also analyze the applicability of the new model and we develop a numerical example in a decision making problem about selection of fiscal policies

The generalized index of maximum and minimum level and its application in decision making

The index of maximum and minimum level is a very useful technique, especially for decision making, which uses the Hamming distance and the adequacy coefficient in the same problem. In this paper, we suggest a generalization by using generalized and quasi-arithmetic means. As a result, we will get the generalized ordered weighted averaging index of maximum and minimum level (GOWAIMAM) and the Quasi-OWAIMAAM operator. These new aggregation operators generalize a wide range of particular cases such as the generalized index of maximum and minimum level (GIMAM), the OWAIMAM, the ordered weighted quadratic averaging IMAM (OWQAIMAM), and others. We also develop an application of the new approach in a decision making problem about selection of products.generalized mean, index of maximum and minimum level, quasi-arithmetic mean, decision making, owa operator

OWA-based fuzzy m-ary adjacency relations in Social Network Analysis.

In this paper we propose an approach to Social Network Analysis (SNA) based on fuzzy m-ary adjacency relations. In particular, we show that the dimension of the analysis can naturally be increased and interesting results can be derived. Therefore, fuzzy m-ary adjacency relations can be computed starting from fuzzy binary relations and introducing OWA-based aggregations. The behavioral assumptions derived from the measure and the exam of individual propensity to connect with other suggest that OWA operators can be considered particularly suitable in characterizing such relationships.reciprocal relation; fuzzy preference relation; priority vector; normalization

OWA Operators in Generalized Distances

Different types of aggregation operators such as the ordered weighted quasi-arithmetic mean (Quasi-OWA) operator and the normalized Hamming distance are studied. We introduce the use of the OWA operator in generalized distances such as the quasi-arithmetic distance. We will call these new distance aggregation the ordered weighted quasi-arithmetic distance (Quasi-OWAD) operator. We develop a general overview of this type of generalization and study some of their main properties such as the distinction between descending and ascending orders. We also consider different families of Quasi-OWAD operators such as the Minkowski ordered weighted averaging distance (MOWAD) operator, the ordered weighted averaging distance (OWAD) operator, the Euclidean ordered weighted averaging distance (EOWAD) operator, the normalized quasi-arithmetic distance, et

A Consensus Approach to the Sentiment Analysis Problem Driven by Support-Based IOWA Majority

In group decision making, there are many situations where the opinion of the majority of participants is critical. The scenarios could be multiple, like a number of doctors finding commonality on the diagnose of an illness or parliament members looking for consensus on an specific law being passed. In this article, we present a method that utilizes induced ordered weighted averaging (IOWA) operators to aggregate a majority opinion from a number of sentiment analysis (SA) classification systems, where the latter occupy the role usually taken by human decision-makers as typically seen in group decision situations. In this case, the numerical outputs of different SA classification methods are used as input to a specific IOWA operator that is semantically close to the fuzzy linguistic quantifier ‘most of’. The object of the aggregation will be the intensity of the previously determined sentence polarity in such a way that the results represent what the majority think. During the experimental phase, the use of the IOWA operator coupled with the linguistic quantifier ‘most’ (math formula) proved to yield superior results compared to those achieved when utilizing other techniques commonly applied when some sort of averaging is needed, such as arithmetic mean or median techniques

Destinação de verba para publicidade on-line considerando múltiplos atributos sob incerteza de preferências

Introduction: The present research was conducted at the University of Delhi in 2017. Method: Websites were ranked on the basis of feedback from unbiased experts. Later, we proposed an integrated approach by combining ordered weighted averaging (owa) operator with fuzzy analytic hierarchy process (fahp) for budget allocation. Results: A numerical example related to a company, which deals with consumer goods and wants to advertise on few e-commerce websites is discussed at the end of the paper. Budget distribution is decided by solving multi-objective maximum-dispersion-minimum-variance (mdmv) owa and fahp method. Conclusions: The proposed methodology aids managerial decisions made by handling multiple attributes simultaneously through industry experts’ opinion, and using a simple proportional rule for allocating budget. Originality:  The conventional methods based on reach maximization, exposure or profit cannot meet the budget allocation needs of the modern advertising planning. Firstly, they do not take into consideration multiple attributes of media. Secondly, they do not incorporate the expert opinion and their preferences. To address these problems, we propose a multi-attribute method based on the advertising budget allocation method to divide the budget into individual websites. The attributes under consideration are: system quality, content quality, usage, trust, customer support, online customer feedback, and personalization. Limitations: In this study, we used a mdmv-owa operator in fuzzy environment but in future occasions, it may be extended to intuitionistic fuzzy domain. Introducción: la presente investigación se realizó en la Universidad de Delhi, India, en 2017. Método: se clasifican los sitios web según la retroalimentación de expertos imparciales. Más adelante, proponemos un enfoque integrado que combina el operador de promediado ponderado ordenado (owa) con el proceso de jerarquía analítica difusa (fahp) para la asignación presupuestaria. Resultados: al final se analiza un ejemplo numérico relacionado con una empresa que se dedica a bienes de consumo y quiere publicitar en sitios web de comercio electrónico. Se decide cómo distribuir el presupuesto utilizando el método combinado de máxima dispersión y mínima varianza (mdmv), owa y fahp. Conclusiones: la metodología propuesta ayuda a tomar decisiones gerenciales al manejar múltiples atributos simultáneamente a partir de la opinión de expertos de la industria, y emplear una regla proporcional simple para asignar el presupuesto. Originalidad: los métodos convencionales basados en la maximización del alcance, la exposición o los beneficios no cumplen con las necesidades de asignación de presupuesto de la planificación publicitaria moderna. En primer lugar, no toman xen consideración los múltiples atributos de los medios. En segundo lugar, no incorporan la opinión de los expertos y sus preferencias. Para abordar estos problemas, proponemos un método de múltiple atributo basado en el método de asignación de presupuesto publicitario para dividir el presupuesto en sitios web individuales. Los atributos que se tienen en cuenta son: calidad del sistema, calidad del contenido, uso, confianza, atención al cliente, comentarios de los clientes en línea y personalización. Limitaciones: en este estudio utilizamos un operador mdmv-owa en un entorno difuso, pero en ocasiones futuras se puede extender al dominio difuso intuicionista.Introdução: a presente pesquisa foi realizada na Universidade de Deli, na Índia, em 2017.Método: as páginas web são classificadas conforme o feedback de especialistas imparciais. Depois, propomos um enfoque integrado, que combina o operador de média ponderada ordenada (owa) com o processo analítico hierárquico difuso (fahp) para a destinação de verba.Resultados: finalmente, um exemplo numérico relacionado com uma empresa que se dedica a bens de consumo e quer fazer publicidade em páginas web de comércio eletrônico é analisado. Utiliza-se o método combinado mdmv (maximum-dispersion-minimum-variance, na sigla em inglês), owa e fahp para decidir como distribuir a verba.Conclusões: a metodologia proposta ajuda a tomar decisões gerenciais ao manejar múltiplos atributos, simultaneamente, a partir da opinião de especialistas da indústria, e empregar uma regra proporcional simples para destinação de verba.Originalidade: os métodos convencionais, baseados na maximização do alcance, na exposição ou nos benefícios, não cumprem com as necessidades de destinação de verba do planejamento publicitário moderno. Em primeiro lugar, não consideram os múltiplos atributos dos meios. Em segundo lugar, não incorporam a opinião dos especialistas e as suas preferências. Para abordar esses problemas, propomos um método de múltiplos atributos, baseado no método de destinação de verba publicitário, para dividir as verbas em páginas web individuais. Os atributos que são levados em conta são: qualidade do sistema, qualidade do conteúdo, uso, confiança, atenção ao cliente, comentários dos clientes na rede e personalização.Limitações: neste estudo, foi utilizado um operador mdmv-owa em um entorno difuso, mas em ocasiões futuras é possível expandir ao domínio difuso intuicionista