and numbers, arithmetic of type-2 fuzzy numbers, principle set, horizontal membership, lower and upper membership functions of type-2 fuzzy numbers, differentiability of type-2 fuzzy valued functions, integral and fractional derivatives of type-2 fuzzy valued functions are incorporated in this chapter...
This article advances a new method for studying cases, fuzzy set ideal type analysis, which is a framework that allows a precise operationalization of theoretical concepts, the configuration of concepts into ideal types, and the categorisation of cases. In a Weberian sense, ideal types are analyti...
Interval type‑2 fuzzy sets: Are where the uncertainty is represented by a type‑1 fuzzy set where the membership grades are unity.Bibliography Bustince H (2000) Indicator of inclusion grade for interval-valuedfuzzy sets: application to approximate reasoning based on interval-valued fuzzy sets....
In this paper, we use Zadeh's extension principle to extend Kosko's definition of the fuzzy subsethood measure S(G, H) to type-2 fuzzy sets defined on any set X equipped with a measure. Subsethood is itself a fuzzy set that is a crisp interval when G and H are interval type-2 ...
we provide a brief history of type-2 fuzzy sets and FLSs. [44] introduced the concept of a type-2 fuzzy set as an extension of an ordinary fuzzy set, i.e., a type-1 fuzzy set. [34] studied the set theoretic operations of type-2 fuzzy sets and properties ...
Some Properties of Fuzzy Sets of Type-2Some Properties of Fuzzy Sets of Type-2doi:10.1016/S0019-9958(76)80011-3The concept of fuzzy sets of type 2 has been defined by L. A. Zadeh as an extension of ordinary fuzzy sets. The fuzzy set of type 2 can be characterized by a fuzzy membe...
New and revised denitions such as unit fuzzy sets, type-2 fuzzy sets (T2 FSs) and their restriction at a point are introduced by the method of set theory to make them easily understandable. All the denitions are uniform and formal, and able to represent type-2 fuzzy sets conveniently. ...
Applying to a data set of 40 IVUS frames the results show a good agreement between the automatically detected and manually defined shadow regions boundaries by the proposed method and the expert, respectively. 展开 关键词: histogram modification IVUS Typ2 fuzzy set shadow region thresholding ...
However, the use of this type of models implies a degree of uncertainty in the definition of the fuzzy partitions. In this work the concept of interval-valued fuzzy set was used to deal with this problem. The aim of this contribution was to show the improvement in the performance of ...
compositions of a type-1 fuzzy set with a type-1 fuzzy relation , hedges, the Extension Principle (which is about functions of fuzzy sets),α-cuts (which are a powerful way to represent a type-1 fuzzy set in terms of intervals), functions of type-1 fuzzy sets computed by usingα-cuts...