a new attitude coupled with the basic fuzzy thinking to distance between two fuzzy numbers

نویسندگان

fazlollah abbasi

department of mathematics ayatollah amoli branch, islamic azad university, amol, iran tofigh allahviranloo

department of mathematics, science and research branch, islamic azad university, tehran, iran saeid abbasbandy

department of mathematics, science and research branch, islamic azad university, tehran, iran

چکیده

fuzzy measures are suitable in analyzing human subjective evaluation processes. several different strategies have been proposed for distance of fuzzy numbers. the distances introduced for fuzzy numbers can be categorized in two groups:1. the crisp distances which explain crisp values for the distance between two fuzzy numbers.2. the fuzzy distance which introduce a fuzzy distance for normal fuzzy numbers. it was introduced by voxman cite{33} for the first time through using  $alpha$-cut.however, both mentioned concepts can lead to unsatisfactory results from the applications point of view, but there is no method, which gives a satisfactory result to all situations. in this paper,  a new attitude coupled with fuzzy thinking to the fuzzy distance function on the set of fuzzy numbers is proposed. in this new fuzzy distance, we considered both mentioned attitudes,  then we introduced new fuzzy distance based on a combination (hybrid) of those two. some properties of the proposed fuzzy distance have been discussed. finally, several examples have been provided to explain the application of the proposed method and compare this methods with others.

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A new attitude coupled with the basic fuzzy thinking to distance between two fuzzy numbers

Fuzzy measures are suitable in analyzing human subjective evaluation processes. Several different strategies have been proposed for distance of fuzzy numbers. The distances introduced for fuzzy numbers can be categorized in two groups:\1. The crisp distances which explain crisp values for the distance between two fuzzy numbers.\2. The fuzzy distance which introduce a fuzzy distance for normal f...

متن کامل

A new attitude coupled with the basic thinking to ordering for ranking fuzzy ‎numbers

‎Ranking fuzzy numbers is generalization of the concepts of order, and class, and so have fundamental applications. Moreover, deriving the final efficiency and powerful ranking are helpful to decision makers when solving fuzzy problems. Selecting a good ranking method can apply to choosing a desired criterion in a fuzzy environment. There are numerous methods proposed for the ranking of fuzzy n...

متن کامل

a new attitude coupled with the basic thinking to ordering for ranking fuzzy ‎numbers

‎ranking fuzzy numbers is generalization of the concepts of order, and class, and so have fundamental applications. moreover, deriving the final efficiency and powerful ranking are helpful to decision makers when solving fuzzy problems. selecting a good ranking method can apply to choosing a desired criterion in a fuzzy environment. there are numerous methods proposed for the ranking of fuzzy n...

متن کامل

a new type-ii fuzzy logic based controller for non-linear dynamical systems with application to 3-psp parallel robot

abstract type-ii fuzzy logic has shown its superiority over traditional fuzzy logic when dealing with uncertainty. type-ii fuzzy logic controllers are however newer and more promising approaches that have been recently applied to various fields due to their significant contribution especially when the noise (as an important instance of uncertainty) emerges. during the design of type- i fuz...

15 صفحه اول

A new similarity measure between type-2 fuzzy numbers and fuzzy risk analysis

In this paper, we present a revised similarity measure based onChen-and-Chen's similarity measure for fuzzy risk analysis. The revisedsimilarity measure uses the corrected formulae to calculate the centre ofgravity points, therefore it is more  effective than the Chen-and-Chen'smethod. The revised similarity measure can overcome the drawbacks of theexisting methods. We have also proposed a new ...

متن کامل

Fuzzy Distance of Trapezoidal Fuzzy Numbers

Fuzzy distance is applied on data analysis, classification, and product positioning analysis widely. In this paper, We introduce a fuzzy distance by using graded mean integration representation of generalized fuzzy number and the span of fuzzy number, We also discuss the distance of the linguistic data of “greater or less than x” and “about x”. It is reasonable to say “the fuzzy distance of abo...

متن کامل

منابع من

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


عنوان ژورنال:
iranian journal of fuzzy systems

جلد ۱۳، شماره ۶، صفحات ۲۱-۳۹

میزبانی شده توسط پلتفرم ابری doprax.com

copyright © 2015-2023