• Communications of the Korean Mathematical Society
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• v.19 no.1
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• pp.35-51
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• 2004

We introduce fuzzy closure systems and fuzzy closure operators as extensions of closure systems and closure operators. We study relationships between fuzzy closure systems and fuzzy closure spaces. In particular, two families F(S) and F(C) of fuzzy closure systems and fuzzy closure operators on X are complete lattice isomorphic.

• The Journal of Korean Academy of Prosthodontics
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• v.32 no.4
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• pp.553-564
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• 1994

Using Sirognathograph Analyzing System, the patterns of chewing movement were analyzed into opening phase and closing phase, each phase to frontal plane, horizontal plane, and sagittal plane by maruyama's classification. In opening phase, the chewing patterns of frontal plane were classifed into Chopping Opening, Grinding Opening, Concave Opening, Lateral Shift Opening, Vertical Guide Opening, Convergence Opening. Those of horizontal plane were classified into Chopping Opening, Grinding Opening, Concave Opening, Protrusive Shift Opening, Posterior Guide Opening, Convergence Opening. Those of sagittal plane were classified into Normal Opening, Protrusive Shift Opening, Vertical Guide Opening, Convergence Opening. In closing phase, the chewing patterns of frontal plane were classified into Normal Closure, Concave Closure, Lateral Shift Closure, Lateral Guide Closure, Vertical Guide Closure, Convergence Closure, Those of horzontal plane were classified into Normal Closure, Concave Closure, Lateral Shift Closure, Protrusive Shift Closure, Lateral Guide closure, Posterior Guide Closure, Convergence Closure. Those of sagittal plane were classified into Normal Closure, Protrusive Shift Closure, Vertical Guide. Closure, Convergence Closure. Results were summarized as follows : 1. Opening phase in chewing movement The Normal Openings in 3 planes(frontal, horizontal, sagittal), the Concave Openings in frontal plane and horizontal plane, the Vertical Guide Opening in frontal plane and the Posterior Guide Opening in horizontal plane were many observed. 2. Closing phase in chewing movement The Concave Closure in frontal and horizontal plane, the Normal Closure in 3 planes (frontal, horizontal, sagittal), the Concave Closure in horizontal plane were many observed.

• Korean Journal of Mathematics
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• v.28 no.3
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• pp.509-524
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• 2020

The notion of fuzzy closure filters is introduced and discussed in an MS-algebra. In particular, we characterize the prime fuzzy closure filters in terms of boosters. Some relationship between the lattice of fuzzy closure filters and the fuzzy ideal lattice of boosters are explored and investigated.

• Korean Journal of Mathematics
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• v.27 no.2
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• pp.475-485
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• 2019

In this paper, we introduced the notions of right and left closure systems on generalized residuated lattices. In particular, we study the relations between right (left) closure (interior) operators and right (left) closure (interior) systems. We give their examples.

• Honam Mathematical Journal
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• v.19 no.1
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• pp.47-52
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• 1997

• Honam Mathematical Journal
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• v.38 no.2
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• pp.231-241
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• 2016

In this paper we will define the tight integral closure of a finite set of ideals of a ring relative to a module and we will study some related results.

• Korean Journal of Mathematics
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• v.7 no.1
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• pp.11-25
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• 1999

We will define a smooth fuzzy closure space and a subspace of it. We will investigate relationships between smooth fuzzy closure spaces and smooth fuzzy topological spaces. In particular, we will show that a subspace of a smooth fuzzy topological space can be obtained by the subspace of the smooth fuzzy closure space induced by it.

• Communications of the Korean Mathematical Society
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• v.19 no.4
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• pp.639-641
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• 2004

We introduce the notion of closure $\Gamma$-semigroups. We give a condition for a closure $\Gamma$-semigroup to be $\Gamma$-central, and we show that the $\Gamma$-centralizer of a closure $\Gamma$-semigroup is a $\Gamma$-subsemigroup.

• Journal of Korean Neurosurgical Society
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• v.29 no.5
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• pp.640-643
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• 2000

Objective : In neurosurgical practice, it has been generally accepted that when the dura is opened, it should be watertightly closed, and traditionally non-watertight closure has not been performed. We clinically tried non-watertight closure, analyzed the frequency of CSF leakage and evaluated the possible clinical application of non-watertight closure. Methods : After classifying our cases with supratentorial and infratentorial approach, we tried non-watertight and watertight closures and compared the results. We also analyzed the cases with or without dural graft. Results : In supratentorial approach, the rate of cerebrospinal fluid leakage noted in non-watertight closure was similar to that of watertight closure. In infratentorial approach, except microvascular decompression(MVD), the rate of cerebrospinal fluid leakage in non-watertight closure was higher than that of watertight closure. Dura graft application did not seemed to influence the cerebrospinal fluid leakage. Conclusion : Since the frequency of cerebrospinal fluid leakage was not higher in non-watertight closure than that of watertight closure, non-watertight closure can be applied in supratentorial approach. In infratentorial approach, non-watertight closure may be applied in surgery with relatively short dural incision, such as MVD. However, non-watertight closure doesn't seem to be appropriate in surgery that requires wide dural incision, such as skull base surgery.

• Archives of Plastic Surgery
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• v.49 no.5
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• pp.617-632
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• 2022

Tracheoesophageal puncture (TEP) and voice prosthesis insertion following laryngectomy may fail to form an adequate seal. When spontaneous closure of the fistula tract does not occur after conservative measures, surgical closure is required. The purpose of this study was to summarize the available evidence on surgical methods for TEP site closure. A comprehensive search across PubMed, Web of Science, SCOPUS, and Cochrane was performed to identify studies describing surgical techniques, outcomes, and complications for TEP closure. We evaluated the rate of unsuccessful TEP closure after surgical management. A meta-analysis with a random-effect method was performed. Thirty-four studies reporting on 144 patients satisfied inclusion criteria. The overall incidence of an unsuccessful TEP surgical closure was 6% (95% confidence interval [CI] 1-13%). Subgroup analysis showed an unsuccessful TEP closure rate for silicone button of 8% (95% CI < 1-43%), 7% (95% CI < 1-34%) for dermal graft interposition, < 1% (95% CI < 1-37%) for radial forearm free flap, < 1% (95% CI < 1-52%) for ligation of the fistula, 17% (95% CI < 1-64%) for interposition of a deltopectoral flap, 9% (95% CI < 1-28%) for primary closure, and 2% (95% CI < 1-20%) for interposition of a sternocleidomastoid muscle flap. Critical assessment of the reconstructive modality should take into consideration previous history of surgery or radiotherapy. Nonirradiated fields and small defects may benefit from fistula excision and tracheal and esophageal multilayer closure. In cases of previous radiotherapy, local flaps or free tissue transfer yield high successful TEP closure rates. Depending on the defect size, sternocleidomastoid muscle flap or fasciocutaneous free flaps are optimal alternatives.