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Journal ArticleDOI

Decision-theoretic three-way approximations of fuzzy sets

Xiaofei Deng, +1 more
- 20 Sep 2014 - 
- Vol. 279, pp 702-715
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TLDR
An alternative decision-theoretic formulation in which the required thresholds are computed by minimizing decision cost is introduced, to gain further insights into three-way approximations of fuzzy sets.
About
This article is published in Information Sciences.The article was published on 2014-09-20. It has received 185 citations till now. The article focuses on the topics: Membership function & Defuzzification.

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Citations
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Journal ArticleDOI

Three-Way Decisions and Cognitive Computing

TL;DR: It is argued that 3WD are built on solid cognitive foundations and offer cognitive advantages and benefits and demonstrate the flexibility and general applicability of 3WD by using examples from across many fields and disciplines.
Journal ArticleDOI

Three-way cognitive concept learning via multi-granularity

TL;DR: An axiomatic approach to describe three-way concepts by means of multi-granularity is put forward and a three- way cognitive computing system is designed to find composite three-Way cognitive concepts.
Journal ArticleDOI

Sequential three-way decision and granulation for cost-sensitive face recognition

TL;DR: A sequential three-way decision method for cost-sensitive face recognition and a series of image granulation methods based on two-dimensional subspace projection methods, which simulate a sequential decision strategy from rough granule to precise granule.
Journal ArticleDOI

A novel three-way decision model based on incomplete information system

TL;DR: A new relation is defined to describe the similarity degree of incomplete information and interval number is utilized to acquire the loss function in a novel three-way decision model based on incomplete information system.
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Three-way decisions space and three-way decisions

TL;DR: Novel dynamic two- way decisions and dynamic three-way decisions based on three-Way decisions spaces and three- Way decisions with a pair of evaluation functions are introduced.
References
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Book

Fuzzy sets

TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Journal Article

The magical number seven, plus or minus two: some limits on our capacity for processing information

TL;DR: The theory of information as discussed by the authors provides a yardstick for calibrating our stimulus materials and for measuring the performance of our subjects and provides a quantitative way of getting at some of these questions.
Book

The magical number seven plus or minus two: some limits on our capacity for processing information

TL;DR: The theory provides us with a yardstick for calibrating the authors' stimulus materials and for measuring the performance of their subjects, and the concepts and measures provided by the theory provide a quantitative way of getting at some of these questions.
Book

Fuzzy Sets and Fuzzy Logic: Theory and Applications

TL;DR: Fuzzy Sets and Fuzzy Logic is a true magnum opus; it addresses practically every significant topic in the broad expanse of the union of fuzzy set theory and fuzzy logic.
Journal ArticleDOI

The magical number 4 in short-term memory: a reconsideration of mental storage capacity.

TL;DR: A wide variety of data on capacity limits suggesting that the smaller capacity limit in short-term memory tasks is real is brought together and a capacity limit for the focus of attention is proposed.