The purpose of this paper is to further study the(∈,∈∨q_k)-fuzzy filter theory in R_0-algebras. Some new properties of(∈, ∈∨ q_k)-fuzzy filters are given. Representation theorem of(∈,∈∨q_k)-fuzzy filter which...The purpose of this paper is to further study the(∈,∈∨q_k)-fuzzy filter theory in R_0-algebras. Some new properties of(∈, ∈∨ q_k)-fuzzy filters are given. Representation theorem of(∈,∈∨q_k)-fuzzy filter which is generated by a fuzzy set is established. It is proved that the set consisting of all(∈, ∈∨q_k)-fuzzy filters on a given R_0-algebra, under the partial order, forms a complete distributive lattice.展开更多
BACKGROUND Undifferentiated pleomorphic sarcoma(UPS)is a type of soft tissue sarcoma,the histologic origin and differentiation direction of which are still unclear.There are few treatment options for UPS other than su...BACKGROUND Undifferentiated pleomorphic sarcoma(UPS)is a type of soft tissue sarcoma,the histologic origin and differentiation direction of which are still unclear.There are few treatment options for UPS other than surgery.Herein we describe a patient who had multiple recurrences of UPS postoperatively,but R0 resection was achieved by local hyperthermia combined with chemotherapy,thus providing a new treatment approach for similar situations.CASE SUMMARY A 65-year-old man sought evaluation from a physician for a mass on his right back.After surgery,the pathologic diagnosis was fibrosarcoma.During the follow-up evaluations until 2021,the patient had four relapses of varying degrees.Postoperative pathology confirmed the recurrence of UPS on the right back.In March 2021,he underwent local hyperthermia combined with two cycles of chemotherapy for recurring lesions.After magnetic resonance imaging reexamination and preoperative examination,the patient chose surgery again.During the operation,the tumors were easy to excise,the amount of bleeding decreased significantly,and the pathologic evaluation confirmed that one of the specimens was an R0 excision.CONCLUSION Local hyperthermia combined with chemotherapy enables R0 resection to be achieved in patients with advanced UPS recurrence.展开更多
The concepts of metric R0-algebra and Hilbert cube of type RO are introduced. A unified approximate reasoning theory in propositional caculus system ? and predicate calculus system (?) is established semantically as w...The concepts of metric R0-algebra and Hilbert cube of type RO are introduced. A unified approximate reasoning theory in propositional caculus system ? and predicate calculus system (?) is established semantically as well as syntactically, and a unified complete theorem is obtained.展开更多
基金Supported by Higher School Research Foundation of Inner Mongolia(NJSY14283)
文摘The purpose of this paper is to further study the(∈,∈∨q_k)-fuzzy filter theory in R_0-algebras. Some new properties of(∈, ∈∨ q_k)-fuzzy filters are given. Representation theorem of(∈,∈∨q_k)-fuzzy filter which is generated by a fuzzy set is established. It is proved that the set consisting of all(∈, ∈∨q_k)-fuzzy filters on a given R_0-algebra, under the partial order, forms a complete distributive lattice.
文摘BACKGROUND Undifferentiated pleomorphic sarcoma(UPS)is a type of soft tissue sarcoma,the histologic origin and differentiation direction of which are still unclear.There are few treatment options for UPS other than surgery.Herein we describe a patient who had multiple recurrences of UPS postoperatively,but R0 resection was achieved by local hyperthermia combined with chemotherapy,thus providing a new treatment approach for similar situations.CASE SUMMARY A 65-year-old man sought evaluation from a physician for a mass on his right back.After surgery,the pathologic diagnosis was fibrosarcoma.During the follow-up evaluations until 2021,the patient had four relapses of varying degrees.Postoperative pathology confirmed the recurrence of UPS on the right back.In March 2021,he underwent local hyperthermia combined with two cycles of chemotherapy for recurring lesions.After magnetic resonance imaging reexamination and preoperative examination,the patient chose surgery again.During the operation,the tumors were easy to excise,the amount of bleeding decreased significantly,and the pathologic evaluation confirmed that one of the specimens was an R0 excision.CONCLUSION Local hyperthermia combined with chemotherapy enables R0 resection to be achieved in patients with advanced UPS recurrence.
基金supported by the National Natural Science Foundation of China(Grant No.19331010).
文摘The concepts of metric R0-algebra and Hilbert cube of type RO are introduced. A unified approximate reasoning theory in propositional caculus system ? and predicate calculus system (?) is established semantically as well as syntactically, and a unified complete theorem is obtained.
