• 충청수학회지
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• 제35권2호
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• pp.103-113
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• 2022

The notions of soft rough pre open set, soft rough pre closed set, soft rough dense set, soft rough sub maximal, soft rough pre interior and soft rough pre closure are introduced and studied. We also investigate some related properties of these concepts.

• Journal of applied mathematics & informatics
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• 제36권1_2호
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• pp.59-68
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• 2018

In this paper, We define and explore the characterizations and properties of soft regular open(closed) and soft semi-regular sets in soft topological spaces. The properties of soft extremally disconnected spaces are also introduced and discussed. The findings in this paper will help researcher to enhance and promote further study on soft topology to carry out a general framework for their applications in practical life.

• 대한수학회논문집
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• 제33권4호
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• pp.1341-1356
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• 2018

The author devotes this paper to defining a new class of generalized soft open sets, namely soft somewhere dense sets and to investigating its main features. With the help of examples, we illustrate the relationships between soft somewhere dense sets and some celebrated generalizations of soft open sets, and point out that the soft somewhere dense subsets of a soft hyperconnected space coincide with the non-null soft ${\beta}$-open sets. Also, we give an equivalent condition for the soft csdense sets and verify that every soft set is soft somewhere dense or soft cs-dense. We show that a collection of all soft somewhere dense subsets of a strongly soft hyperconnected space forms a soft filter on the universe set, and this collection with a non-null soft set form a soft topology on the universe set as well. Moreover, we derive some important results such as the property of being a soft somewhere dense set is a soft topological property and the finite product of soft somewhere dense sets is soft somewhere dense. In the end, we point out that the number of soft somewhere dense subsets of infinite soft topological space is infinite, and we present some results which associate soft somewhere dense sets with some soft topological concepts such as soft compact spaces and soft subspaces.

• Kyungpook Mathematical Journal
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• 제58권3호
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• pp.583-588
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• 2018

In this manuscript, we show that the equality relations of the two assertions (ix) and (x) of [Theorem 2.11, p.p.224] in [3] do not hold in general, by giving a concrete example. Also, we illustrate that Example 6.3, Example 6.7, Example 6.11, Example 6.15 and Example 6.20 do not satisfy a soft semi $T_0$-space, a soft semi $T_1$-space, a soft semi $T_2$-space, a soft semi $T_3$-space and a soft semi $T_4$-space, respectively. Moreover, we point out that the three results obtained in [3] which related to soft subspaces are false, by presenting two examples. Finally, we construct an example to illuminate that Theorem 6.18 and Remark 6.21 made in [3] are not valid in general.

• 대한족부족관절학회지
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• 제10권1호
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• pp.105-108
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• 2006

Open calcaneal fractures are potentially devastating hindfoot injuries, in which the status of soft tissue envelope is very important. The reversed adipofascial flap has a merit of simplicity and minimal complication compared to free tissue transfer. We report of a case of open calcaneal fracture with soft tissue defect of hindfoot, which was successfully treated with reversed adipofascial flap.

• Korean Journal of Mathematics
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• 제27권3호
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• pp.661-690
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• 2019

The soft compactness notion via soft topological spaces was first studied in [10,29]. In this work, soft semi-open sets are utilized to initiate seven new kinds of generalized soft semi-compactness, namely soft semi-$Lindel{\ddot{o}}fness$, almost (approximately, mildly) soft semi-compactness and almost (approximately, mildly) soft semi-$Lindel{\ddot{o}}fness$. The relationships among them are shown with the help of illustrative examples and the equivalent conditions of each one of them are investigated. Also, the behavior of these spaces under soft semi-irresolute maps are investigated. Furthermore, the enough conditions for the equivalence among the four sorts of soft semi-compact spaces and for the equivalence among the four sorts of soft semi-$Lindel{\ddot{o}}f$ spaces are explored. The relationships between enriched soft topological spaces and the initiated spaces are discussed in different cases. Finally, some properties which connect some of these spaces with some soft topological notions such as soft semi-connectedness, soft semi $T_2$-spaces and soft subspaces are obtained.

• 대한족부족관절학회지
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• 제11권1호
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• pp.111-114
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• 2007

Open calcaneal fracture with more than lateral half of bone loss and soft tissue defect occurred in 17 year-old male patient due to motor vehicle accident. Soft tissue defect included heel pad, peroneal tendon. Bone loss involved mainly most part of inferior tuberosity but not subtalar joint. Open dressing and debridement were done daily in operating room and antibiotics administration was started. After granulation tissue formed, femoral head allograft was performed and fixed with 6.0 mm screws to replace bone defect. Soft tissue defect was covered with latissimus dorsi musculocutaneous free flap. No sign of infection nor major osteolysis was observed in 15 months follow up period. Soft tissue defect was covered with latissimus dorsi musculocutaneous free flap.

• Journal of the Korean Association of Oral and Maxillofacial Surgeons
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• 제40권3호
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• pp.103-110
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• 2014

Objectives: In this study, we assessed soft tissue asymmetry that occurred after open reduction of unilateral zygomaticomaxillary complex (ZMC) fractures. We proposed a simple method to assess soft tissue asymmetry after reduction surgery by evaluating the symmetry between the affected and the unaffected sides. The factors affecting soft tissue contour after surgery were also analyzed. Materials and Methods: Subjects included patients admitted to Wonkwang University Dental Hospital from 2008 to 2013. Cone-beam computed tomography (CBCT) images of asymmetric patients who underwent open reduction at least 3 months prior were compared with healthy patients. Results: The degree of asymmetry was measured in both the open reduction and control groups. Landmarks that showed a statistically significant difference between the two groups were zygion ($1.73{\pm}0.24mm$), bucclae ($1.08{\pm}0.26mm$), point of cheek ($2.05{\pm}0.33mm$) and frontozygomatic point ($1.30{\pm}0.31mm$). Conclusion: When compared with the normal group, asymmetry can occur in the affected side, which usually shows depression of overlying soft tissue and is statistically significantly different. Evaluation of soft tissue asymmetry with CBCT images after open reduction of ZMC fracture is useful.

• Archives of Reconstructive Microsurgery
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• 제23권1호
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• pp.18-20
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• 2014

Two aged patients who had open tibial fractures with arterial injury caused by high energy accidents underwent emergency arterial reconstruction using a greater saphenous vein and soft tissue repair using free flaps. In the patients, soft tissue necrosis developed and tibias were exposed at postoperative third week. Follow-up angiography through the superficial femoral artery showed occlusion of the anterior tibial artery. The anterior tibial artery was reconstructed using the contralateral greater saphenous vein graft and the latissimus dorsi myocutaneous and rectus abdominis muscle free flaps were transplanted for repair of necrotic soft tissue. The reconstructed arteries showed good perfusion to the new free flaps until union of the tibias occurred. The patients were followed-up for 21 years and 17 years postoperatively, respectively. In management of open comminuted fracture of the tibia, injury of the arterial system must be ruled out by angiography in addition to evaluation of the degree of soft tissue injury.

• Archives of Reconstructive Microsurgery
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• 제15권2호
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• pp.58-64
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• 2006

Purpose: Management of soft-tissue defect after open tibial fractures includes immediate and repeated debridement, skeletal stabilization, and early soft-tissue coverage with muscle flaps. The purpose of this study was to evaluate the outcome of the free rectus abdominis muscle flap (RA flap) for treatment of open fractures of the tibia and to discuss its advantages compared with the latissimus dorsi muscle flap (LD flap) in poly trauma patients. Materials and Methods: We performed a retrospective review of 5 patients who had a severe (Gustilo IIIb or IIIc) open fracture of the tibia treated with RA flap from May 2003 to March 2006. All were men, and the mean age was 46.6 years (range, $28{\sim}68$). Three patients had combined injuries such as pelvic bone fractures, multiple rib fractures with hemothorax, and contralateral tibial fracture. All patients received RA flap within 7 days after trauma except two with established chronic osteomyelitis. Results: All flaps survived, and there was no marginal flap necrosis. During the follow-up period, there was no evidence of persistent or recurrent osteomyelitis. The size of RA flap ranged from $8{\sim}20\;cm$ in length and $6{\sim}10\;cm$ in width. The average time required for RA flap elevation was 32 minutes, which is shorter than LD flap. Flap elevation could be done in supine position which is essential in poly trauma patients. Conclusion: Although a wide variety of options are available, RA flap is regarded as an optimal method for coverage of soft-tissue defect of the open tibial fracture in poly trauma patients. LD flap is reserved for large sized soft-tissue defect which cannot be covered by RA flap.