Geometry of Spatial Bipolar Fuzzy Sets Based on Bipolar Fuzzy Numbers and Mathematical Morphology

نویسنده

  • Isabelle Bloch
چکیده

We propose in this paper new tools for dealing with bipolar fuzzy spatial information: particular geometrical objects are defined, as well as measures such as cardinality and perimeter, represented as bipolar fuzzy numbers. A definition of distance from a point to a bipolar fuzzy set is introduced as well. These definitions are based on mathematical morphology operators, recently proposed in the framework of bipolar fuzzy sets.

برای دانلود رایگان 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

Bipolar Fuzzy Spatial Information: Geometry, Morphology, Spatial Reasoning

Spatial information may be endowed with a bipolarity component. Typical examples concern possible vs forbidden places for an object in space, or “opposite” spatial relations such as “possibly to the right of an object and certainly not to its left”. However, bipolarity has not been much exploited in the spatial domain yet. Moreover, imprecision has often to be taken into account as well, for in...

متن کامل

A NEW MULTIPLE CRITERIA DECISION-MAKING METHOD BASED ON BIPOLAR FUZZY SOFT GRAPHS

In this research study, we present a novel frame work for handling bipolar fuzzy soft information by combining bipolar fuzzy soft sets with graphs. We introduce several basic notions concerning bipolar fuzzy soft graphs and investigate some related properties. We also consider the application of the bipolar fuzzy soft graphs. In particular, three efficient algorithms are developed to solve mult...

متن کامل

A robust aggregation operator for multi-criteria decision-making method with bipolar fuzzy soft environment

Molodtsov initiated soft set theory that provided a general mathematicalframework for handling with uncertainties in which we encounter the data by affix parameterized factor during the information analysis as differentiated to fuzzy as well as bipolar fuzzy set theory.The main object of this paper is to lay a foundation for providing a new application of bipolar fuzzy soft tool in ...

متن کامل

Fuzzy and Bipolar Mathematical Morphology, Applications in Spatial Reasoning

Mathematical morphology is based on the algebraic framework of complete lattices and adjunctions, which endows it with strong properties and allows for multiple extensions. In particular, extensions to fuzzy sets of the main morphological operators, such as dilation and erosion, can be done while preserving all properties of these operators. Another, more recent, extension, concerns bipolar fuz...

متن کامل

Dilation and Erosion of Spatial Bipolar Fuzzy Sets

Bipolarity has not been much exploited in the spatial domain yet, although it has many features to manage imprecise and incomplete information that could be interesting in this domain. This paper is a first step to address this issue, and we propose to define mathematical morphology operations on bipolar fuzzy sets (or equivalently interval valued fuzzy sets or intuitionistic fuzzy sets).

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009