This paper presents a general framework for the study of relation-based intuitionistic fuzzy rough sets determined by two intuitionistic fuzzy implicators.By employing two intuitionistic fuzzy implicators I and J,I -l...This paper presents a general framework for the study of relation-based intuitionistic fuzzy rough sets determined by two intuitionistic fuzzy implicators.By employing two intuitionistic fuzzy implicators I and J,I -lower and J-upper approximations of intuitionistic fuzzy sets with respect to an intuitionistic fuzzy approximation space are first defined.Properties of(I,J) -intuitionistic fuzzy rough approximation operators are then examined.The connections between special types of intuitionistic fuzzy relations and properties of (I,J)-intuitionistic fuzzy approximation operators are also established.展开更多
In rough set theory,the lower and upper approximation operators are important notions defined by a binary relation.In this paper,we introduce a general type of relation-based fuzzy rough model determined by a triangul...In rough set theory,the lower and upper approximation operators are important notions defined by a binary relation.In this paper,we introduce a general type of relation-based fuzzy rough model determined by a triangular norm.Properties of fuzzy rough approximation operators are examined.The fuzzy rough approximation operators are also characterized by axioms.A comparative study of the fuzzy rough set algebra with other mathematical structures such as fuzzy topological spaces,fuzzy measurable spaces,and fuzzy belief structures is investigated.展开更多
The problem considered in this paper is how to detect the degree of similarity in the content of digital images useful in image retrieval,i.e.,to what extent is the content of a query image similar to content of other...The problem considered in this paper is how to detect the degree of similarity in the content of digital images useful in image retrieval,i.e.,to what extent is the content of a query image similar to content of other images.The solution to this problem results from the detection of subsets that are rough sets contained in covers of digital images determined by perceptual tolerance relations(PTRs).Such relations are defined within the context of perceptual representative spaces that hearken back to work by J.H.Poincare on representative spaces as models of physical continua.Classes determined by a PTR provide content useful in content-based image retrieval(CBIR).In addition,tolerance classes provide a means of determining when subsets of image covers are tolerance rough sets(TRSs).It is the nearness of TRSs present in image tolerance spaces that provide a promising approach to CBIR,especially in cases such as satellite images or aircraft identification where there are subtle differences between pairs of digital images,making it difficult to quantify the similarities between such images.The contribution of this article is the introduction of the nearness of tolerance rough sets as an effective means of measuring digital image similarities and,as a significant consequence,successfully carrying out CBIR.展开更多
Background Thumb web contracture is a common complication after hand injury, and can markedly affect whole hand function. Therefore, surgery involving thumb web reconstruction is often necessary to restore normal func...Background Thumb web contracture is a common complication after hand injury, and can markedly affect whole hand function. Therefore, surgery involving thumb web reconstruction is often necessary to restore normal function of the involved hand. In this study, we present the application of the lateral tarsal artery （LTA） flap in first web reconstruction. Methods From November 1, 2005 to October 31, 2007, seven patients with severe post trauma or burn contractures around the first web space were treated with a LTA flap. All the patients were followed up. Results All flaps survived, with an average size of 6.7 cm×4.8 cm. There were no complications or recurrent contractures during follow-up. All patients were satisfied with the esthetic appearance and functional outcome of the reconstruction. Conclusion The L＇I-A flap could be an excellent option for covering various defects in the thumb web space, serving as an excellent alternative for the thumb web space reconstruction.展开更多
Background The perforator flap has become a very useful reconstructive means of soft tissue defect of extremities. The perforator flap from the inguinal region has advantages that include the ability to cover a large ...Background The perforator flap has become a very useful reconstructive means of soft tissue defect of extremities. The perforator flap from the inguinal region has advantages that include the ability to cover a large area with little donor site morbidity and provision of suitable thickness for reconstruction. Methods From July 1, 2005 to June 30, 2007, 10 patients with various types of soft tissue defect underwent reconstruction with 10 perforator flaps from the inguinal region. Six flaps were applied to the upper extremities and four flaps to the lower extremities. The dimensions of the transferred flaps ranged from 7-30 cm in length and 4-10 cm in width. Results The postoperative course of all 10 flaps was uneventful and all flaps survived. Distal small partial necrosis was observed in one case due to arterial insufficiency of the distal part of the flap. All patients were satisfied with the functional and esthetic resurfacing outcome. Conclusion Use of perforator flap from the inguinal region could overcome the disadvantages of the traditional free groin flap, and represents a safe and useful tool for coverage of soft tissue defects.展开更多
Background Fingertip defect significantly affects the appearance of the hand. The aim of this research was to evaluate the clinical effect of aesthetic fingertip reconstruction with partial second toe transfer.Methods...Background Fingertip defect significantly affects the appearance of the hand. The aim of this research was to evaluate the clinical effect of aesthetic fingertip reconstruction with partial second toe transfer.Methods Between July 2005 and December 2008, 17 patients underwent aesthetic fingertip reconstruction with partial second toe transfer. The mean size of fingertip defects was 0.7 cm （ranging from 0.5-1.1 cm）. Anastomosis was performed between one dominant plantar digital artery and one proper digital artery, between two dorsal digital veins of the toe and two dorsal digital veins of the finger, respectively, for the reconstruction of blood supply to the reconstructed finger. Two plantar digital nerves of the toe were then sutured to two proper digital nerves of the finger for the restoration of fingertip sensation.Results All reconstructed fingers survived completely. The follow-up period ranged from 6 to 24 months, and the appearance of the reconstructed fingertip was similar to that of the normal fingertip. Two-point discrimination of the reconstructed fingertip was （7.8±1.3） mm. The recovered pinch strength of the reconstructed finger was about （89.0±5.1）% of that of the normal finger. Donor site healed well without complications.Conclusions Partial second toe transfer is an ideal aesthetic reconstruction method for fingertip defects; it can not only achieve a satisfactory appearance of the fingertip, but can also obtain excellent sensory and motor functions.展开更多
基金supported by grants from the National Natural Science Foundation of China(Nos.61075120, 60673096 and 60773174)the Natural Science Foundation of Zhejiang Province in China(No.Y107262).
文摘This paper presents a general framework for the study of relation-based intuitionistic fuzzy rough sets determined by two intuitionistic fuzzy implicators.By employing two intuitionistic fuzzy implicators I and J,I -lower and J-upper approximations of intuitionistic fuzzy sets with respect to an intuitionistic fuzzy approximation space are first defined.Properties of(I,J) -intuitionistic fuzzy rough approximation operators are then examined.The connections between special types of intuitionistic fuzzy relations and properties of (I,J)-intuitionistic fuzzy approximation operators are also established.
基金supported by grants from the National Natural Science Foundation of China(Nos.60673096 and 60773174)the Natural Science Foundation of Zhejiang Province in China(No.Y107262).
文摘In rough set theory,the lower and upper approximation operators are important notions defined by a binary relation.In this paper,we introduce a general type of relation-based fuzzy rough model determined by a triangular norm.Properties of fuzzy rough approximation operators are examined.The fuzzy rough approximation operators are also characterized by axioms.A comparative study of the fuzzy rough set algebra with other mathematical structures such as fuzzy topological spaces,fuzzy measurable spaces,and fuzzy belief structures is investigated.
基金supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) research grants 194376 and 185986Manitoba Centre of Excellence Fund(MCEF) grant and Canadian Network Centre of Excellence(NCE) and Canadian Arthritis Network(CAN) grant SRI-BIO-05.
文摘The problem considered in this paper is how to detect the degree of similarity in the content of digital images useful in image retrieval,i.e.,to what extent is the content of a query image similar to content of other images.The solution to this problem results from the detection of subsets that are rough sets contained in covers of digital images determined by perceptual tolerance relations(PTRs).Such relations are defined within the context of perceptual representative spaces that hearken back to work by J.H.Poincare on representative spaces as models of physical continua.Classes determined by a PTR provide content useful in content-based image retrieval(CBIR).In addition,tolerance classes provide a means of determining when subsets of image covers are tolerance rough sets(TRSs).It is the nearness of TRSs present in image tolerance spaces that provide a promising approach to CBIR,especially in cases such as satellite images or aircraft identification where there are subtle differences between pairs of digital images,making it difficult to quantify the similarities between such images.The contribution of this article is the introduction of the nearness of tolerance rough sets as an effective means of measuring digital image similarities and,as a significant consequence,successfully carrying out CBIR.
基金This research was supported by a grant from the Natural Science Foundation of Guangdong Province （No. 8151031701000001）.
文摘Background Thumb web contracture is a common complication after hand injury, and can markedly affect whole hand function. Therefore, surgery involving thumb web reconstruction is often necessary to restore normal function of the involved hand. In this study, we present the application of the lateral tarsal artery （LTA） flap in first web reconstruction. Methods From November 1, 2005 to October 31, 2007, seven patients with severe post trauma or burn contractures around the first web space were treated with a LTA flap. All the patients were followed up. Results All flaps survived, with an average size of 6.7 cm×4.8 cm. There were no complications or recurrent contractures during follow-up. All patients were satisfied with the esthetic appearance and functional outcome of the reconstruction. Conclusion The L＇I-A flap could be an excellent option for covering various defects in the thumb web space, serving as an excellent alternative for the thumb web space reconstruction.
基金This research was supported by a grant from the Natural Science Foundation of Guangdong Province （No. 8151031701000001）.
文摘Background The perforator flap has become a very useful reconstructive means of soft tissue defect of extremities. The perforator flap from the inguinal region has advantages that include the ability to cover a large area with little donor site morbidity and provision of suitable thickness for reconstruction. Methods From July 1, 2005 to June 30, 2007, 10 patients with various types of soft tissue defect underwent reconstruction with 10 perforator flaps from the inguinal region. Six flaps were applied to the upper extremities and four flaps to the lower extremities. The dimensions of the transferred flaps ranged from 7-30 cm in length and 4-10 cm in width. Results The postoperative course of all 10 flaps was uneventful and all flaps survived. Distal small partial necrosis was observed in one case due to arterial insufficiency of the distal part of the flap. All patients were satisfied with the functional and esthetic resurfacing outcome. Conclusion Use of perforator flap from the inguinal region could overcome the disadvantages of the traditional free groin flap, and represents a safe and useful tool for coverage of soft tissue defects.
基金This work was supported by a grant from the Natural Science Foundation of Guangdong Province （No. 8151031701000001）.
文摘Background Fingertip defect significantly affects the appearance of the hand. The aim of this research was to evaluate the clinical effect of aesthetic fingertip reconstruction with partial second toe transfer.Methods Between July 2005 and December 2008, 17 patients underwent aesthetic fingertip reconstruction with partial second toe transfer. The mean size of fingertip defects was 0.7 cm （ranging from 0.5-1.1 cm）. Anastomosis was performed between one dominant plantar digital artery and one proper digital artery, between two dorsal digital veins of the toe and two dorsal digital veins of the finger, respectively, for the reconstruction of blood supply to the reconstructed finger. Two plantar digital nerves of the toe were then sutured to two proper digital nerves of the finger for the restoration of fingertip sensation.Results All reconstructed fingers survived completely. The follow-up period ranged from 6 to 24 months, and the appearance of the reconstructed fingertip was similar to that of the normal fingertip. Two-point discrimination of the reconstructed fingertip was （7.8±1.3） mm. The recovered pinch strength of the reconstructed finger was about （89.0±5.1）% of that of the normal finger. Donor site healed well without complications.Conclusions Partial second toe transfer is an ideal aesthetic reconstruction method for fingertip defects; it can not only achieve a satisfactory appearance of the fingertip, but can also obtain excellent sensory and motor functions.
