Choquet integrals of weighted triangular fuzzy linguistic information and their applications to multiple attribute decision making

We investigate the multiple attribute decision making problems in which attribute values take the form of triangular fuzzy linguistic information. Firstly, the definition and some operational laws of triangular fuzzy linguistic are introduced. Then, we have developed three fuzzy linguistic Choquet integral aggregation operators: fuzzy linguistic choquet ordered averaging operator, fuzzy linguistic choquet ordered geometric operator and fuzzy linguistic choquet ordered harmonic mean operator. The prominent characteristic of the operators is that they cannot only consider the importance of the elements or their ordered positions, but also reflect the correlation among the elements or their ordered positions. We have studied some desirable properties of these operators, such as commutativity, idempotency and monotonicity, and applied these operators to multiple attribute decision making with triangular fuzzy linguistic information. Finally an illustrative example has been given to show the developed method

Decision making techniques with similarity measures and OWA operators

We analyse the use of the ordered weighted average (OWA) in decision-making giving special attention to business and economic decision-making problems. We present several aggregation techniques that are very useful for decision-making such as the Hamming distance, the adequacy coefficient and the index of maximum and minimum level. We suggest a new approach by using immediate weights, that is, by using the weighted average and the OWA operator in the same formulation. We further generalize them by using generalized and quasi-arithmetic means. We also analyse the applicability of the OWA operator in business and economics and we see that we can use it instead of the weighted average. We end the paper with an application in a business multi-person decision-making problem regarding production management

Recursive families of OWA operators

Introduces an alternative characterization of OWA operators by means of recursive definitions on their dimension. Some mathematical results are provided along with some examples concerning also a characterization of linguistic quantifiers by means of these recursive definitions of OWA operators

Entrepreneurship and Decision- Making in Latin America

El objetivo principal de este artículo es analizar diferentes métodosde toma de decisiones, con enfoque en el emprendimiento en Latinoamérica.Los métodos de toma de decisiones pueden recibir informaciónpor parte de operadores de agregación basados en el uso de probabilidades,promedios ponderados (PP) y operadores de agregación generalizados.El artículo presenta un nuevo operador probabilístico generalizadode promedios ponderados (GPWA) que unifica los promedios ponderadosy la probabilidad en la misma formulación, considerando el grado de importanciade cada concepto usado en el análisis. La ventaja fundamentalde este enfoque es que incluye un amplio rango de casos particulares,incluyendo el operador probabilístico de promedios ponderados, el operadorprobabilístico de promedios geométricos ponderados y el operadorprobabilístico de promedios cuadráticos ponderados. Se emplean medioscuasiaritméticos para obtener el operador cuasiprobabilístico de promediosponderados y para generalizar el enfoque, que luego es aplicado a unconjunto de decisiones empresariales hipotéticas en cuanto a inversión enuna región latinoamericana unificada políticamente

Entrepreneurship and Decision- Making in Latin America

El objetivo principal de este artículo es analizar diferentes métodosde toma de decisiones, con enfoque en el emprendimiento en Latinoamérica.Los métodos de toma de decisiones pueden recibir informaciónpor parte de operadores de agregación basados en el uso de probabilidades,promedios ponderados (PP) y operadores de agregación generalizados.El artículo presenta un nuevo operador probabilístico generalizadode promedios ponderados (GPWA) que unifica los promedios ponderadosy la probabilidad en la misma formulación, considerando el grado de importanciade cada concepto usado en el análisis. La ventaja fundamentalde este enfoque es que incluye un amplio rango de casos particulares,incluyendo el operador probabilístico de promedios ponderados, el operadorprobabilístico de promedios geométricos ponderados y el operadorprobabilístico de promedios cuadráticos ponderados. Se emplean medioscuasiaritméticos para obtener el operador cuasiprobabilístico de promediosponderados y para generalizar el enfoque, que luego es aplicado a unconjunto de decisiones empresariales hipotéticas en cuanto a inversión enuna región latinoamericana unificada políticamente

Intuitionistic fuzzy generalized probabilistic ordered weighted averaging operator and its application to group decision making

In this paper, we present the intuitionistic fuzzy generalized probabilistic ordered weighted averaging (IFGPOWA) operator. It is a new aggregation operator that uses generalized means in a unified model between the probability and the OWA operator. The main advantage of this new operator is that it is able to deal with probabilities (objective information) and ordered weighted averages (subjective information) in the same formulation. Moreover, it is also able to deal with uncertain environments that can be assessed with intuitionistic fuzzy numbers. Furthermore, it uses generalized means providing a very general formulation that includes a wide range of situations. We study some of its main properties and particular cases such as the generalized intuitionistic fuzzy ordered weighted averaging (GIFOWA) operator and intuitionistic fuzzy probabilistic ordered weighted averaging (IFPOWA) operator. We end the paper by applying the new operator to a group decision making problem concerning the selection of investments. First published online: 26 Jun 201