In order to measure the uncertain information of a type- 2 intuitionistic fuzzy set （T21FS）, an entropy measure of T21FS is presented by using the constructive principles. The proposed entropy measure is also proved...In order to measure the uncertain information of a type- 2 intuitionistic fuzzy set （T21FS）, an entropy measure of T21FS is presented by using the constructive principles. The proposed entropy measure is also proved to satisfy all of the constructive principles. Further, a novel concept of the type-2 triangular in- tuitionistic trapezoidal fuzzy set （T2TITrFS） is developed, and a geometric interpretation of the T2TITrFS is given to comprehend it completely or correctly in a more intuitive way. To deal with a more general uncertain complex system, the constructive principles of an entropy measure of T2TITrFS are therefore proposed on the basis of the axiomatic definition of the type-2 intuitionisic fuzzy entropy measure. This paper elicits a formula of type-2 triangular intuitionistic trapezoidal fuzzy entropy and verifies that it does sa- tisfy the constructive principles. Two examples are given to show the efficiency of the proposed entropy of T2TITrFS in describing the uncertainty of the type-2 intuitionistic fuzzy information and illustrate its application in type-2 triangular intuitionistic trapezodial fuzzy decision making problems.展开更多
Plexiformangiomyxoid myofibroblastic tumor(PAMT)is a rare gastric mesenchymal entity with a peculiar plexiform pattern,bland spindle cells and myxoid stroma rich in arborizing blood vessels.Here we report a 44-year-ol...Plexiformangiomyxoid myofibroblastic tumor(PAMT)is a rare gastric mesenchymal entity with a peculiar plexiform pattern,bland spindle cells and myxoid stroma rich in arborizing blood vessels.Here we report a 44-year-old Chinese woman with PAMT.Initially she was admitted for removal of a gastric antral‘polyp’found on a routine examination 5 months previously.Our gastroscopy showed a 0.80.8cm polyp-like mass in the antrum which protruded into the lumen.Endoscopic submucosal dissection(ESD)was performed to remove this mass en bloc.The specimen was carefully examined by pathologists,and the correct diagnosis of PAMT was finally made.The tumor in this case depicted typical histopathological and immunohistochemical features of gastric PAMT.This PAMT was not only the smallest on endoscopic examination in the literature but also—unlike the already reported PAMTs—exhibited a focal hyperechogenic lesion on endoscopic ultrasonography(EUS).This information highlights its value on how to identify a PAMT at its early stage.展开更多
基金supported by the National Natural Science Foundation of China(7137115670971017)the Research Grants Council of the Hong Kong Special Administrative Region,China(City U112111)
文摘In order to measure the uncertain information of a type- 2 intuitionistic fuzzy set （T21FS）, an entropy measure of T21FS is presented by using the constructive principles. The proposed entropy measure is also proved to satisfy all of the constructive principles. Further, a novel concept of the type-2 triangular in- tuitionistic trapezoidal fuzzy set （T2TITrFS） is developed, and a geometric interpretation of the T2TITrFS is given to comprehend it completely or correctly in a more intuitive way. To deal with a more general uncertain complex system, the constructive principles of an entropy measure of T2TITrFS are therefore proposed on the basis of the axiomatic definition of the type-2 intuitionisic fuzzy entropy measure. This paper elicits a formula of type-2 triangular intuitionistic trapezoidal fuzzy entropy and verifies that it does sa- tisfy the constructive principles. Two examples are given to show the efficiency of the proposed entropy of T2TITrFS in describing the uncertainty of the type-2 intuitionistic fuzzy information and illustrate its application in type-2 triangular intuitionistic trapezodial fuzzy decision making problems.
文摘Plexiformangiomyxoid myofibroblastic tumor(PAMT)is a rare gastric mesenchymal entity with a peculiar plexiform pattern,bland spindle cells and myxoid stroma rich in arborizing blood vessels.Here we report a 44-year-old Chinese woman with PAMT.Initially she was admitted for removal of a gastric antral‘polyp’found on a routine examination 5 months previously.Our gastroscopy showed a 0.80.8cm polyp-like mass in the antrum which protruded into the lumen.Endoscopic submucosal dissection(ESD)was performed to remove this mass en bloc.The specimen was carefully examined by pathologists,and the correct diagnosis of PAMT was finally made.The tumor in this case depicted typical histopathological and immunohistochemical features of gastric PAMT.This PAMT was not only the smallest on endoscopic examination in the literature but also—unlike the already reported PAMTs—exhibited a focal hyperechogenic lesion on endoscopic ultrasonography(EUS).This information highlights its value on how to identify a PAMT at its early stage.
