Approach to Representation of Type-2 Fuzzy Sets Using Computational Methods of Computer Graphics
نویسنده
چکیده
The type-2 fuzzy sets was introduced by L. Zadeh as an extension of ordinary fuzzy sets. So the concept of type-2 fuzzy sets is also extended from type-1 fuzzy sets. If A is a type-1 fuzzy set and membership grade of x ∈ X in A is μA(x), which is a crisp number in [0, 1]. A type-2 fuzzy set in X is Ã, and the membership grade of x ∈ X in à is μÃ(x), which is a type-1 fuzzy set in [0, 1]. The elements of the domain of μÃ(x) are called primary memberships of x in à and the memberships of the primary memberships in μÃ(x) are called secondary memberships of x in Ã.
منابع مشابه
Horizontal representation of a hesitant fuzzy set and its application to multiple attribute decision making
The main aim of this paper is to present a novel method for ranking hesitant fuzzy sets (HFSs) based on transforming HFSs into fuzzy sets (FSs). The idea behind the method is an interesting HFS decomposition which is referred here to as the horizontal representation in the current study. To show the validity of the proposed ranking method, we apply it to solve a multi-attribute decision-making ...
متن کاملDirectional Stroke Width Transform to Separate Text and Graphics in City Maps
One of the complex documents in the real world is city maps. In these kinds of maps, text labels overlap by graphics with having a variety of fonts and styles in different orientations. Usually, text and graphic colour is not predefined due to various map publishers. In most city maps, text and graphic lines form a single connected component. Moreover, the common regions of text and graphic lin...
متن کاملFuzzy Inference System Approach in Deterministic Seismic Hazard, Case Study: Qom Area, Iran
Seismic hazard assessment like many other issues in seismology is a complicated problem, which is due to a variety of parameters affecting the occurrence of an earthquake. Uncertainty, which is a result of vagueness and incompleteness of the data, should be considered in a rational way. Using fuzzy method makes it possible to allow for uncertainties to be considered. Fuzzy inference system,...
متن کاملFuzzy Inference System Approach in Deterministic Seismic Hazard, Case Study: Qom Area, Iran
Seismic hazard assessment like many other issues in seismology is a complicated problem, which is due to a variety of parameters affecting the occurrence of an earthquake. Uncertainty, which is a result of vagueness and incompleteness of the data, should be considered in a rational way. Using fuzzy method makes it possible to allow for uncertainties to be considered. Fuzzy inference system,...
متن کاملMAN-MACHINE INTERACTION SYSTEM FOR SUBJECT INDEPENDENT SIGN LANGUAGE RECOGNITION USING FUZZY HIDDEN MARKOV MODEL
Sign language recognition has spawned more and more interest in human–computer interaction society. The major challenge that SLR recognition faces now is developing methods that will scale well with increasing vocabulary size with a limited set of training data for the signer independent application. The automatic SLR based on hidden Markov models (HMMs) is very sensitive to gesture's shape inf...
متن کامل