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Intuitionistic Fuzzy Soft Rough Set and Its Application in Decision Making
The soft set theory, originally proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainty. In this paper, we present concepts of soft rough intuitionistic fuzzy sets and intuitionistic fuzzy soft rough sets, and ...
Haidong Zhang, Lan Shu, Shilong Liao
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The notion of a q-rung orthopair fuzzy soft rough set ( $^{q}ROFSRS$ ) appeared as an extension of q-rung orthopair fuzzy set ( $^{q}ROFS$ ) and q-rung orthopair fuzzy soft set ( $^{q}ROFSS$ ) with the aid of rough set (RS) definition. Thus, $^{q}ROFSRS$
Jingshui Ping +4 more
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Urban fringe is the transition zone fine grained with urban and non-urban land cover types. The complex landscape mosaic in this area challenges the land cover classification based on the remote-sensing data.
Yetao Yang, Yi Wang, Ke Wu, Xin Yu
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Axiomatic systems for rough sets and fuzzy rough sets
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Rough picture fuzzy set and picture fuzzy topologies
Approximation of a picture fuzzy set on a crisp approximation space gives a rough picture fuzzy set. In this paper, the concept of a rough picture set is introduced, besides, we also investigate some topological structures of a rough picture fuzzy set ...
Định, Nguyễn Văn +3 more
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Rough bipolar fuzzy ideals in semigroups
Fuzzy set (FS) theory and rough sets (RSs) are constructed to accommodate the data uncertainty. In contrast, the bipolar FS (BFS) theory can tackle the uncertainty and the bipolarity of the data in different circumstances.
Nosheen Malik +5 more
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The fuzzy rough set approaches of fuzzy reasoning
In this paper, we present some new ideas for fuzzy reasoning from the viewpoint of fuzzy rough set. After introducing the existing research of fuzzy rough sets, we show that the well-known CRI method in fuzzy reasoning is just a special upper ...
Tsang, ECC +3 more
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A fuzzy-rough set model is presented based on the extension of the classical rough set theory. The continuous attributes are fuzzified. The indiscernibility relation in classical rough set is extended to the fuzzy similarity relation. Then an inductive learning algorithm based on fuzzy-rough set model (FRILA) is proposed.
Hong Jing, Lu Jingui, Shi Feng
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Rough and T-Rough Sets Arising from Intuitionistic Fuzzy Ideals in BCK-Algebras
This paper presents the novel concept of rough intuitionistic fuzzy ideals within the realm of BCK-algebras and investigates their fundamental properties.
Kholood M. Alsager, Sheza M. El-Deeb
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Multi-granulation rough filters and rough fuzzy filters in Pseudo-BCI algebras
This paper introduced the notions of rough filters, multi-granulation rough filters, and rough fuzzy filters in pseudo-BCI algebras and investigated some properties. First, a congruence relation was structured by a filter on pseudo-BCI algebra.
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