Fuzzy rough set model on two different universes and its application
TLDR
A new extension of the rough set model on the different universe is presented based on the fuzzy compatible relation R ∼ α, which is defined by a fuzzy relationship R ∼ between two different non-empty universes U and V and the threshold α.About:
This article is published in Applied Mathematical Modelling.The article was published on 2011-04-01 and is currently open access. It has received 71 citations till now. The article focuses on the topics: Rough set & Dominance-based rough set approach.read more
Citations
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A novel soft rough fuzzy set: Z-soft rough fuzzy ideals of hemirings and corresponding decision making
Jianming Zhan,Kuanyun Zhu +1 more
TL;DR: The notion of Z-soft rough fuzzy sets of hemirings is introduced, which is an extended notion of soft rough sets andrough fuzzy sets that removes the limiting condition that full soft sets require in Feng-soft rougher sets and Meng-soft Rough fuzzy sets.
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Probabilistic rough set over two universes and rough entropy
Weimin Ma,Bingzhen Sun +1 more
TL;DR: The uncertainty measure of the knowledge granularity and rough entropy for probabilistic rough set over two universes by the proposed concept is discussed and the general Shannon entropy of covering-based on universe is defined.
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Rough set-based conflict analysis model and method over two universes
TL;DR: A new rough set model of conflict analysis: a conflict analysis decision model based on rough set theory over two universes, which could reveal the core causes for a conflict situation but also can find a possible optimal feasible consensus strategy to solve the conflict situation which satisfies the agents as much as possible.
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A fuzzy rough set approach to emergency material demand prediction over two universes
TL;DR: A fuzzy rough set over two universes model and approach for solving emergency material demand prediction with insufficient risk identification, incomplete and inaccuracy of available information and uncertainty of decision-making environment is considered.
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A rough set approach to intuitionistic fuzzy soft set based decision making
TL;DR: Using rough set theory, a novel approach to intuitionistic fuzzy soft set based decision making problems is proposed and some fundamental properties of this rough set model are examined.
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.
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Rough fuzzy sets and fuzzy rough sets
Didier Dubois,Henri Prade +1 more
TL;DR: It is argued that both notions of a rough set and a fuzzy set aim to different purposes, and it is more natural to try to combine the two models of uncertainty (vagueness and coarseness) rather than to have them compete on the same problems.
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Rudiments of rough sets
Zdziasław Pawlak,Andrzej Skowron +1 more
TL;DR: The basic concepts of rough set theory are presented and some rough set-based research directions and applications are pointed out, indicating that the rough set approach is fundamentally important in artificial intelligence and cognitive sciences.
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Variable precision rough set model
TL;DR: A generalized model of rough sets called variable precision model (VP-model), aimed at modelling classification problems involving uncertain or imprecise information, is presented and the main concepts are introduced formally and illustrated with simple examples.