The Spearman and Kendall rank correlation coefficients between intuitionistic fuzzy sets

نویسندگان

  • Eulalia Szmidt
  • Janusz Kacprzyk
چکیده

This paper is a continuation of our previous work on Pearson’s coefficient r and we discuss here the concept of the Spearman correlation coefficient and the Kendall correlation coefficient between Atanassov’s intuitionistic fuzzy sets (A-IFSs, for short) to measure the degree of association between the A-IFSs when the assumption that the data distributions are normal is not valid or when data are in the form of ranks.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Correlation Coefficients for Hesitant Fuzzy Linguistic Term Sets

Here are many situations in real applications of decision making where we deal with uncertain conditions.  Due to the different sources of uncertainty,  since its original definition of fuzzy sets in 1965 cite{zadeh1965},  different generalizations and extensions of fuzzy sets have been introduced: Type-2 fuzzy sets cite{6,13}, Intuitionistic fuzzy sets cite{1}, fuzzy multi-sets cite{37} and et...

متن کامل

Correlation coefficient of intuitionistic fuzzy sets

Based on the point of view of geometrical representation of an intuitionistic fuzzy set, we take into account all three parameters describing intuitionistic fuzzy set, propose a kind of new method to calculate correlation and correlation coefficient of intuitionistic fuzzy sets which is similar to the cosine of the intersectional angle in finite sets and probability space, respectively. Further...

متن کامل

Correlation coefficients of generalized intuitionistic fuzzy sets by centroid method

In this paper, we propose a method to calculate the correlation coefficient of generalized intuitionistic fuzzy sets by means of "centroid". The value which obtained from this method tell us the strength of relationship between the generalized intuitionistic fuzzy sets [11] and the whether the generalized intuitionistic fuzzy sets are positively or negatively related. This method looks better t...

متن کامل

INTERVAL-VALUED INTUITIONISTIC FUZZY SETS AND SIMILARITY MEASURE

In this paper, the problem of measuring the degree of inclusion and similarity measure for two   interval-valued intuitionistic  fuzzy sets is considered. We propose inclusion and similarity measure by using  order on interval-valued intuitionistic fuzzy sets connected with lexicographical order. Moreover, some properties of inclusion and similarity measure and some correlation, between them an...

متن کامل

Hybrid multi-criteria group decision-making for supplier selection problem with interval-valued Intuitionistic fuzzy data

The main objectives of supply chain management are reducing the risk of supply chain and production cost, increase the income, improve the customer services, optimizing the achievement level, and business processes which would increase ability, competency, customer satisfaction, and profitability. Further, the process of selecting the appropriate supplier capable of providing buyerchr('39')s re...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011