• Title/Summary/Keyword: upper set

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Intuitionistic Fuzzy Rough Approximation Operators

  • Yun, Sang Min;Lee, Seok Jong
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.15 no.3
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    • pp.208-215
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    • 2015
  • Since upper and lower approximations could be induced from the rough set structures, rough sets are considered as approximations. The concept of fuzzy rough sets was proposed by replacing crisp binary relations with fuzzy relations by Dubois and Prade. In this paper, we introduce and investigate some properties of intuitionistic fuzzy rough approximation operators and intuitionistic fuzzy relations by means of topology.

A NOTE ON EXPANSIVE ℤk-ACTION AND GENERATORS

  • Shah, Ekta
    • Communications of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.1329-1334
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    • 2019
  • We define the concept of a generator for a ${\mathbb{Z}}^k$-action T and show that T is expansive if and only it has a generator. Further, we prove several properties of a ${\mathbb{Z}}^k$-action including that the least upper bound of the set of expansive constants is not an expansive constant.

GENERALIZED PSEUDO BE-ALGEBRAS

  • Aslam, Ayesha;Hussain, Fawad;Kim, Hee Sik
    • Honam Mathematical Journal
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    • v.43 no.2
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    • pp.325-342
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    • 2021
  • In this paper, we define a new algebraic structure known as a generalized pseudo BE-algebra which is a generalization of a pseudo BE-algebra. We construct some examples in order to show the existence of the generalized pseudo BE-algebra. Moreover, we characterize different classes of generalized pseudo BE-algebras by some results.

New Approaches to Assessing Nutrient Intakes Using the Dietary Reference Intakes

  • Murphy, Suzanne P.
    • Nutritional Sciences
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    • v.6 no.1
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    • pp.48-52
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    • 2003
  • The Dietary Reference Intakes (DRI's) are new nutrient intake standards that are being set for the United States and Canada. There are currently four types of DRI's: Estimated Average Requirements (EAR), Recommended Dietary Allowances (RDA), Adequate Intakes (AI), and Tolerable Upper Intake Levels (UL). The EAR is the nutrient intake that would be adequate for about half the population, while intake at the RDA should be adequate for 97-98% of the population. When the data are insufficient to set an EAR and RDA, then an AI is set. The UL is the highest intake level that does not pose a risk of adverse effects. The EAR, AI, and UL may be used to assess intakes of both individuals and of groups of people. For individuals, the EAR is used to calculate the probability that intake is inadequate, the AI is used to decide if the probability of inadequacy is low, and the UL is used to determine if a risk of excess intake is present. For groups. the EAR is used to estimate the prevalence of inadequacy, the AI is used to decide if the prevalence of inadequacy is low, and the UL is used to estimate the prevalence of excessive intakes. Because this approach to setting and applying nutrient standards is new, research recommendations include improving estimates of risk, improving dietary data, and improving statistical methods.

An Algorithm for the Concave Minimization Problem under 0-1 Knapsack Constraint (0-1 배낭 제약식을 갖는 오목 함수 최소화 문제의 해법)

  • Oh, S.H.;Chung, S.J.
    • Journal of Korean Institute of Industrial Engineers
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    • v.19 no.2
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    • pp.3-13
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    • 1993
  • In this study, we develop a B & B type algorithm for the concave minimization problem with 0-1 knapsack constraint. Our algorithm reformulates the original problem into the singly linearly constrained concave minimization problem by relaxing 0-1 integer constraint in order to get a lower bound. But this relaxed problem is the concave minimization problem known as NP-hard. Thus the linear function that underestimates the concave objective function over the given domain set is introduced. The introduction of this function bears the following important meanings. Firstly, we can efficiently calculate the lower bound of the optimal object value using the conventional convex optimization methods. Secondly, the above linear function like the concave objective function generates the vertices of the relaxed solution set of the subproblem, which is used to update the upper bound. The fact that the linear underestimating function is uniquely determined over a given simplex enables us to fix underestimating function by considering the simplex containing the relaxed solution set. The initial containing simplex that is the intersection of the linear constraint and the nonnegative orthant is sequentially partitioned into the subsimplices which are related to subproblems.

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A Query Randomizing Technique for breaking 'Filter Bubble'

  • Joo, Sangdon;Seo, Sukyung;Yoon, Youngmi
    • Journal of the Korea Society of Computer and Information
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    • v.22 no.12
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    • pp.117-123
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    • 2017
  • The personalized search algorithm is a search system that analyzes the user's IP, cookies, log data, and search history to recommend the desired information. As a result, users are isolated in the information frame recommended by the algorithm. This is called 'Filter bubble' phenomenon. Most of the personalized data can be deleted or changed by the user, but data stored in the service provider's server is difficult to access. This study suggests a way to neutralize personalization by keeping on sending random query words. This is to confuse the data accumulated in the server while performing search activities with words that are not related to the user. We have analyzed the rank change of the URL while conducting the search activity with 500 random query words once using the personalized account as the experimental group. To prove the effect, we set up a new account and set it as a control. We then searched the same set of queries with these two accounts, stored the URL data, and scored the rank variation. The URLs ranked on the upper page are weighted more than the lower-ranked URLs. At the beginning of the experiment, the difference between the scores of the two accounts was insignificant. As experiments continue, the number of random query words accumulated in the server increases and results show meaningful difference.

Experimental Study on the Development of a Forming Process for Manufacturing Doubly-curved Sheet Metal (이중 곡률을 갖는 판재의 성형 공정의 개발에 대한 실험적 연구)

  • 양동열
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1999.03b
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    • pp.18-21
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    • 1999
  • In this study in order to make doubly-curved sheet metal effectively a sheet metal forming process has been developed by adopting the flexibility of the incremental forming process and the principle of bending deformation which causes slight deformation to thickness The developed process is an unconstrained forming process with no holder. For this study the experimental equipment is set up with the punch-set which consists of two pairs of lower support-punches and one upper center-punch. In the experiments using aluminum sheet it is found that the curvature of the formed sheet metal is determined by controlling the distance between supporting punches in pairs and the forming depth of the center-punch. and the edge-forming method is proposed for forming the sheet metal into the balanced shape. The equation using process variables such as the distance between supporting punches in pairs and the forming depth of the center-punch is proposed for the prediction of the radii of curvatures of the formed shape and it is corrected by the experimental results and the FEM simulation results about whether springback takes place. It is found that according o the simulation there is a certain set of the distance between a pair of supporting punches and the forming depth of the center-punch which causes a little springback. It is thus shown that the radii of curvatures of the formed sheet metal can be predicated by the corrected equation unless significant springback occurs.

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Robust Design of Coordinated Set Planning with the Non-Ideal Channel

  • Dai, Jianxin;Liu, Shuai;Chen, Ming;Zhou, Jun;Qi, Jie;Liang, Jingwei
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.8 no.5
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    • pp.1654-1675
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    • 2014
  • In practical wireless systems, the erroneous channel state information (CSI) sometimes deteriorates the performance drastically. This paper focuses on robust design of coordinated set planning of coordinated multi-point (CoMP) transmission, with respect to the feedback delay and link error. The non-ideal channel models involving various uncertainty conditions are given. After defining a penalty factor, the robust net ergodic capacity optimization problem is derived, whose variables to be optimized are the number of coordinated base stations (BSs) and the divided area's radius. By the maximum minimum criterion, upper and lower bounds of the robust capacity are investigated. A practical scheme is proposed to determine the optimal number of cooperative BSs. The simulation results indicate that the robust design based on maxmin principle is better than other precoding schemes. The gap between two bounds gets smaller as transmission power increases. Besides, as the large scale fading is higher or the channel is less reliable, the number of the cooperated BSs shall be greater.

Similarity Measure Between Interval-valued Vague Sets (구간값 모호집합 사이의 유사척도)

  • Cho, Sang-Yeop
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.5
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    • pp.603-608
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    • 2009
  • In this paper, a similarity measure between interval-valued vague sets is proposed. In the interval-valued vague sets representation, the upper bound and the lower bound of a vague set are represented as intervals of interval-valued fuzzy set respectively. Proposed method combines the concept of geometric distance and the center-of-gravity point of interval-valued vague set to evaluate the degree of similarity between interval-valued vague sets. We also prove three properties of the proposed similarity measure. It provides a useful way to measure the degree of similarity between interval-valued vague sets.

The Effects of Upper Limb Neuro Dynamic Treatment on the Pain, Grip Strength and Nerve Conduction Velocity of Patients with Carpal Tunnel Syndrome (상지역동학 치료가 수근관 증후군 환자의 통증, 악력, 신경전도속도에 미치는 효과)

  • Yu, Seong-Hun;Park, Sung-Doo;Kim, Tae-Won;Song, Hyun-Seung;Kim, Jin-Young
    • The Journal of Korean Academy of Orthopedic Manual Physical Therapy
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    • v.18 no.1
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    • pp.49-56
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    • 2012
  • Background: When applying the upper limb neurodynamic treatment ULNT1 and upper limb neurodynamic treatment ULNT2, The object of this study evaluates the pain and grip strength, nerve conduction velocity and tries to present the treatment that is effective in the carpal tunnel syndrome through the comparison of effect between tests. Methods: The ULNT1 (n=10) and ULNT2 (n=10) was applied to the carpal tunnel syndrome in patient of 20 subject for 10 time 5 set during 4 weeks. Both groups received conventional physical therapy (hot pack with 30 minutes and ICT with 15 minutes and ultra sound with 15 minutes). Results: The ULNT1 showed the difference which the result of this study significantly in the median nerve motor latency, median nerve motor amplitude, median nerve sensory latency, median nerve sensory amplitude, grip strength and pain. ULNT2 showed the difference significantly in median nerve motor latency, median nerve motor amplitude, median nerve sensory latency, median nerve sensory amplitude and pain. Conclusions: If it implements by applying the traditional physiotherapy and ULNT1 and ULNT2 to the carpal tunnel syndrome subjects according to the subject state and function, the remedial value can be more enhanced.

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