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Análisis financiero en el sector industrial con aplicación de herramientas de la lóg= ica borrosa

 

Financial analysis in the industrial sector with application of fuzzy logic tools

 =

Kléber A= ntonio Luna Altamirano[1], Juan Ennis Espinoza González[2], William Henry Sarmiento Espinoza [3], Celio Froilán Andrade Cordero[4], Verónica Paola Chamba Esparza[5].

&= nbsp;

Recibido: 10-04-2019 / Revisado: 25-04-2019 /Aceptado: 05-05-2019/ Publicado: 16-05-2019=

 <= /o:p>

Abstract                     =             DOI: https://doi.org/10.33262/cienciadi= gital.v3i2.3.566

The financial analysis gai= ns importance in the accounting and administrative field, this one contributes with information on the financial situation of the company, exposing the correct thing or not of the management, the problem of the companies of the industrial sector of the city of Cuenca-Ecuador, is the ignorance of new fo= rms of financial analysis with the purpose of knowing its real financial situat= ion. The objective is to provide managers with a new way of calculating the most important financial ratios, with the support of fuzzy logic, applying confidence intervals by means of a range of values, with the purpose of limiting the uncertainty within this analysis, in order to reduce the subjectivity or risk that traditional, ambiguous and imprecise calculation = may have. The results of the application of this avant-garde tool describe the variability between the value obtained ratio and the real value thereof. Th= us, in a confidence interval it indicates that, within the established range, t= he real value of the financial ratio is found, increasing the objectivity of t= he result.

 

Keywords: Fuzzy logic, financial ratios, industry sector.

Resumen

El análisis financiero cobra importancia en el cam= po contable y administrativo, este aporta con información sobre la situación financiera de la empresa, exponiendo lo correcto o no de la gestión, el problema de las empresas del sector industrial de la ciudad de Cuenca-Ecuad= or, es el desconocimiento de nuevas formas de análisis financiero con el propós= ito de conocer su situación financiera real. El objetivo es entregar a los directivos una nueva forma de cálculo de los ratios fin= ancieros más importantes, con el apoyo de la lógica borrosa, aplicando intervalos de confianza mediante rango de valores, con el propósito de acotar la incertidumbre dentro de este análisis, con ello se trata de reducir la subjetividad o riesgo que puede tener el cálculo tradicional, ambiguo e impreciso. Los resultados de la aplicación de esta herramienta de vanguardi= a describen la variabilidad entre el v= alor obtenido ratio y el valor real del mismo, así, en un intervalo de confianza indica que, dentro del rango establecido, se halla el valor real del ratio financiero, incrementando la objetividad del resultado. 

Palabras clave= : Lógica borrosa, ratios financieros, sector industrial.

=  

Introducción

El análisis financiero por medio de ratios es un instrumento valioso para la t= oma de decisiones dentro de las organizaciones. Para los directivos y la alta gerencia de una empresa es importante conocer la situación financiera en la= que se encuentra, para ello se hace necesario analizar los estados financieros = por medio de ratios.

El problema de la presente investigación es el desconocimiento de nuevas forma= s de análisis de la situación financiera por parte de las empresas del sector industrial de la ciudad de Cuenca-Ecuador, cuyo objetivo es entregar a estas organizaciones una nueva manera de analizar la situación financiera de sus empresas, a través de ratios con enfoque en la lógica difusa, con la aplica= ción de herramientas de vanguardia como son los intervalos de confianza (bandas)= , en donde se trata de reducir la incertidumbre determinando el valor de mayor probabilidad de ocurrencia del fenómeno. Casanovas y Fernández (2003) afirm= an: “Podemos definir a un intervalo de confianza como un dato incierto que sirve para predecir el valor de cierta variable entre dos extremos, uno inferior y uno superior” (p.20).

Los mismos autores Casanovas y Fernández (2003) explican que un subconjunto bor= roso es el resultado de asignar a los valores de cierta variable de presunción, posibilidad o probabilidad. Dentro de la metodología se analiza los ratios financieros más importantes partiendo del trazo triangular, cuyo análisis será desde la perspectiva de un sub conjunto borr= oso triangular, en donde se admitirá la linealidad de los niveles de presunción= o alfa cortes entre los valores que lo precisen. Partiendo de este análisis, = se puede proyectar estas razones financieras a futuro, dejando a los directivos hace= r el esfuerzo necesario para que este valor este dentro de intervalo de confianza proyectado, logrando de esta manera romper el cálculo tradicional para una mejor gestión empresarial.

 

Estado del arte<= /o:p>

El análisis financiero parte del análisis de los estados financieros a través = de ratios o razones financieras, este evalúa la situación financiera actual y anterior de una organización, determinando estimaciones y predicciones sobre entornos a futuro. Sobre ello algunos autores han publicado sus investigaciones, entre ellos se tiene: Bernal y Amat (2012) describen los <= span class=3DGramE>ratios financieros ideales con mayor potencial predict= ivo y sus fórmulas, así como el diseño de un instrumento de investigación para me= dir la pertinencia de la publicación. Arimany, Farr= eras y Rabaseda (2016) presentan los principales indic= adores económicos y financieros para poder diagnosticar la salud de estas empresas= en el periodo 2008-2013 mediante un análisis a corto y largo plazo, un análisi= s de los resultados y un análisis de los cambios patrimoniales y de los flujos de efectivo de las empresas vinícolas, también realizan una comparativa con las empresas vinícolas catalanas para el mimo periodo.

Villegas, Hernández y Salazar (2017) explican el coeficiente de valor añadido intelectual, junto con sus componentes eficiencia del capital empleado, efi= ciencia del capital humano y eficiencia del capital estructural, se emplean como una herramienta que permite analizar su correlación y su influencia en factores como la rentabilidad, la capitalización de mercado y el valor de las accion= es, en un grupo de empresas mexicanas del sector industrial que cotizan en la B= olsa Mexicana de Valores, lo que permitirá identificarlos como elementos claves = que contribuyen en su competitividad y éxito empresarial. Nava (2009) analiza la importancia del análisis financiero como herramienta clave para una gestión financiera eficiente, explica que este se basa en el cálculo de indicadores financieros que expresan la liquidez, solvencia, eficiencia operativa, endeudamiento, rendimiento y rentabilidad de una empresa, considera  que una empresa con liquidez es solvente= pero no siempre una empresa solvente posee liquidez, indica que el análisis financiero basado en cifras ajustadas por inflación proporciona información financiera válida, actual, veraz y precisa.

La lógica difusa, conocida también con el nombre de lógica borrosa, dio sus inicios en el año 1965 de la mano de Lotfi Asker Zadeh con su public= ación “Fuzzy Sets”, en donde se adoptan los conceptos de la = lógica y de los subconjuntos borrosos, a través de la definición de grados de pertenencia. Otros autores como Kaufmann y Gil (1986). Introducción de la teoría de subconjuntos borrosos a la gestión de las empresas. Rico y Tinto (2008) explica sobre la matemática borrosa y su utilización en varios model= os, para diferentes casos de aplicación en las ciencias económicas y administrativas, permiten señalar la importancia que cobra, para efectos de mejorar el tratamiento y la calidad de la información contable y financiera= al igual que los procesos de toma de decisiones, la incorporación de variables como la subjetividad, la borrosidad y la imprecisión, en la construcción, diseño y estudio de dinámicas asociables a los sistemas de información.

 

Medina (2006) recopila el estado actual de las aplicaciones de la teoría de conjun= tos difusos y los sistemas de inferencia difusos en la solución de problemas financieros, además, se realiza una crítica de los modelos tradicionales de toma de decisiones financieras, que no captan de forma clara las dinámicas = del comportamiento de los mercados. Díaz et al. (2017) evalúan los ratios del segmento 1 de las Cooperativas de Ahorro y Crédito del Ecuador en un rango = de bajo, estable y óptimo, mediante grados de pertenencia y variables lingüíst= icas que sustentan la conversión de los índices financieros a términos difusos, = toman en consideración los principales ratios del sector cooperativo, basados en = las metas del sistema CAMEL, los cuales a través de la función triangular de la lógica difusa obtienen grados de pertenencia donde se sitúan los ratios del segmento. Luna et al. (2018) demuestran la rentabilidad para comercializar = en el mercado Gualacense un modelo novedoso de cal= zado para dama con la utilización de la lógica difusa, aplicando herramientas de avanzada como alfa cortes en los datos obtenidos de los expertos artesanos = del calzado; y, la aplicación de números borrosos triangulares (NBT) en forma de intervalos (bandas) con el propósito de trabajar a ciertos niveles de posibilidad de que ocurra el fenómeno.

 

Finalmente, Kaufmann y Gil-Aluja (1987) en su obra Técnicas operativas de gestión para el tratamiento de la incertidumbre, dan a conocer que un número borroso es considerado como una secuencia finita o infinita de intervalos de confianza, obra trascendente p= ara el acrecentamiento del conocimiento dentro de la lógica difusa (fuzzy logic).<= /span>

 

Metodología

 

El análisis financiero dentro de = toda organización, es considerada como el conjunto de procedimientos usados para diagnosticar la situación financiera, con el propósito de tomar decisiones correctas en el ámbito empresarial. Para Villegas (2002), el análisis financiero consiste en evaluar la posición financiera y los resultados de u= na empresa con relación a sus operaciones, cuya finalidad es descubrir las fortalezas y debilidades de la misma.

 

En la presente investigación se desarrolla herramientas de avanzada que ofrece= la lógica difusa, aplicadas a los ratios financieros más importantes dentro del sector industrial de la ciudad de Cuenca Ecuador. Pa= ra ello se aplica dentro de la metodología números borrosos triangulares e intervalos de confianza (bandas), Gutiérrez (2006) explica que un número borroso asocia dos conceptos: el de intervalo de confianza, que se encuentra ligado a la noción de incertidumbre y el de nivel de presunción ligado a la percepción del individuo, es

decir, a la noción de valuación. Kaufmann y Gil-Aluja (1987) dan a conocer que un número borroso triangular (NBT) que es aquel subconjunto borroso que se for= ma por una secuencia finita e infinita de intervalos de confianza, que surgen = de asignar un nivel de confianza a los valores de un conjunto referencial dado= el que define su grado de pertenencia. Los mismos autores, Kaufmann y Gil Aluja (1986) manifiestan que el uso de números borrosos triangulares en el tratamiento de la incertidumbre dentro de la organización es conocido desde= los inicios de la incorporación de la lógica fuzzy = en los problemas empresariales.  

 

Los ratios financieros que se analizan en este estudio, son los más importantes dentro del sector industrial, entre ellos se pueden enunciara a la liquidez, prueba acida y solvencia, cada uno de ellos se los analizara con enfoque en= la lógica borrosa, con la finalidad de reducir la incertidumbre, vaguedad e im= precisión en la información.

 

Ratio de Liquidez: Razón corriente

 

Esta razón financiera explica la capacidad que tiene la organización para cumplir con sus deudas, obligacion= es financieras, o pasivos a corto plazo, para determinar se divide el activo corriente entr= e el pasivo corriente, indica cuantas deudas de corto plazo son cubiertas por los activos respaldados en efectivo en el mismo plazo, lo ideal es que su respu= esta sea mayor a uno, si el resultado es muy superior a la unidad, este se convi= erte en activos corrientes no productivos. La tabla 1 indica un historial por añ= os de los resultados de este ratio financiero.=

 

Tabla 1. Razón de Liquidez en años

Historial Años

Valor

2,83

2014

2,15

2015

3,47

2016

2,52

2017

1,97

2018

 

 

                Fuente: Elaboración propia

 

Con la información presentada en = la tabla 1, se procede a determinar los niveles mediante la aplicación geométr= ica de un triángulo, en el cual se calcula los niveles pesimista, ideal y optim= ista a partir de la lógica borrosa, con ello se logra determinar intervalos de confianza (bandas), a partir de alfa cotes. Casanovas y Fernández (2003) afirman: “Podemos definir un intervalo de confianza como un dato incierto q= ue sirve para predecir el valor de cierta variable, uno inferior y otro superi= or” (p.20). Lo enunciado se detalla en el siguiente gráfico.<= /p>

 

Gráfico 1. Análisis del ratio liquidez: razón corriente baj= o el enfoque difuso

 =

                  Fuente: Elaboración propia

 

Con este trazo geométrico, se determina en primer lugar un numero borroso triangular (NBT), con el propósito de determinar los tres niveles explicados anteriormente. L= os mismos autores Casanovas y Fernández (2003) afir= man: “la tripleta es también un dato incierto. Sin embargo, viene definida por d= os extremos y un valor central. Mientras los extremos inferior y superior acot= an el valor previsional de la variable en cuestión, el valor central nos indic= a el valor que tiene mayor posibilidad de cumplirse” (p.20-21).

 

En el siguiente gráfico, se demue= stra el numero borroso triangular (NBT), conformado por [1.97, 2,72, 4.47], el v= alor del extremo izquierdo corresponde a la razón corriente del año 2018, el val= or del extremo derecho al año 2016 referente al ratio de liquidez, y el valor central representa la máxima posibilidad de ocurrencia= de este ratio. Lo explicado se demuestra en el gráfico 2.

 

 

 

Gráfico 2. Intervalos de confianza con alfa cortes (α)

 

 

 

 

 

 

 

 

 

 

 

                  <= /p>

 

Fuente: Elaboración propia

 

Apegándose al análisis matemático, la ecuación de la recta se obtiene a través de la fórmula= :

  donde, ; siendo:

 sustituyendo los valores la ecuación de = la recta que pasa por los dos puntos se obtiene:

 

Si alfa corte corresponde al 80% y este valor se sustituye en y, la abscisa resultante es:

orresponde a la banda izquierda.<= o:p>

 

De forma análoga se obtiene la ecuación de la recta

 





www.ci= enciadigital.org

&= nbsp;

                     =                                                      =                                         ISSN: 2602-8085         

                                                 =                       Vol. 3, N°2.3., p. 112-124, abril - junio, 2019

 

Marketing & Proyectos     =                                     =                                            Página 89 =

 

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