Advances and Applications in Mathematical Sciences最新文献_第2页

ON THE INVARIANT OF NEW DEGREE-BASED TOPOLOGICAL INDICES OF SILICATE CHAIN GRAPH 硅酸盐链图基于度的新拓扑指标的不变性

Advances and Applications in Mathematical Sciences Pub Date : 2019-07-01 DOI: 10.37516/adv.math.sci.2019.0074

Rachanna R Kanabur, S. K. Giregol, Basavaraj M. Koujalagi, Edake Yogesh Sidaraya

引用次数: 0

MIXED SEMI-PRE FUZZY TOPOLOGICAL SPACES 混合半预模糊拓扑空间

Advances and Applications in Mathematical Sciences Pub Date : 2019-06-15 DOI: 10.37516/adv.math.sci.2019.0050

D. Sarma, B. Tripathy

引用次数: 1

PHASE SPACE ERROR CONTROL WITH VARIABLE TIME-STEPPING ALGORITHMS APPLIED TO THE FORWARD EULER METHOD FOR AUTONOMOUS DYNAMICAL SYSTEMS 应用变时步算法控制自主动力系统的前向欧拉法相空间误差

Advances and Applications in Mathematical Sciences Pub Date : 2019-06-12 DOI: 10.37516/adv.math.sci.2019.0072

R. Vigneswaran, S. Thilaganathan

引用次数: 0

SOME RESULTS RELATED WITH FUZZY a −NORMED LINEAR SPACE 关于模糊a赋范线性空间的一些结果

Advances and Applications in Mathematical Sciences Pub Date : 2019-06-02 DOI: 10.37516/adv.math.sci.2019.0052

M. Arunmaran, K. Kannan

{"title":"SOME RESULTS RELATED WITH FUZZY a −NORMED LINEAR SPACE","authors":"M. Arunmaran, K. Kannan","doi":"10.37516/adv.math.sci.2019.0052","DOIUrl":"https://doi.org/10.37516/adv.math.sci.2019.0052","url":null,"abstract":"Zadeh established the concept of fuzzy set based on the characteristic function. Foundation of fuzzy set theory was introduced by him. Throughout this paper, 𝑀𝑛(𝐹) denotes the set of all fuzzy matrices of order 𝑛 over the fuzzy unit interval [0,1]. Inaddi tion (𝑀𝑛 (𝐹), 𝜃) dis called as fuzzy 𝛼 −normed linear space. The objective of this paper is to investigate the relationships between convergent sequences and fuzzy 𝛼 −normed linear space. The set of all fuzzy points in 𝑀𝑛 (𝐹) is denoted by 𝑃∗(𝑀𝑛(𝐹)). For a fuzzy 𝛼 −normed linear space (𝑀𝑛 (𝐹), 𝜃), we have |𝜃(𝑃𝐴)𝛼 −𝜃(𝑃𝐵)𝛼 | ≤ 𝜃(𝑃𝐴,𝑃𝐵)𝛼. Besides 𝜃 is a continuous function on 𝑀𝑛 (𝐹). That is, if 𝑃𝐴𝑛 → 𝑃𝐴 as 𝑛 → ∞ then 𝜃(𝑃𝐴𝑛 )𝛼 → 𝜃(𝑃𝐴)𝛼 as 𝑛 → ∞, where 𝑃𝐴𝑛 is a sequence in (𝑀𝑛 (𝐹), 𝜃). Hence, 𝜃 is always bounded on 𝑀𝑛(𝐹). Next we introduce the following result: Let 𝑃𝐴𝑛 , 𝑃𝐵𝑛 ∈ 𝑃 ∗ (𝑀𝑛(𝐹)) with 𝑃𝐴𝑛 and 𝑃𝐵𝑛 converge to 𝑃𝐴 and 𝑃𝐵 respectively as 𝑛 → ∞. Then 𝑃𝐴𝑛 + 𝑃𝐵𝑛 converge to 𝑃𝐴 + 𝑃𝐵 as 𝑛 → ∞. Furthermore, we are able to compare two different fuzzy 𝛼 −norms with convergent sequence. The result states that for a fuzzy 𝛼 −normed linear space (𝑀𝑛(𝐹), 𝜃), we have 𝜃(𝑃𝐴)𝛼1 ≥ 𝑀𝜃(𝑃𝐴 )𝛼2 , for some 𝑀 > 0 and 𝑃𝐴 ∈ 𝑃 ∗ (𝑀𝑛(𝐹)). If 𝑃𝐴𝑛 converges to 𝑃𝐴 under fuzzy 𝛼1 −norm then 𝑃𝐴𝑛 converges to 𝑃𝐴 under fuzzy 𝛼2 −norm. Moreover, if (𝑀𝑛 (𝐹), 𝜃) has finite dimension then it should be complete. Through these results, we are able to get clear understanding about the concept fuzzy 𝛼 −normed linear space and its properties.","PeriodicalId":53941,"journal":{"name":"Advances and Applications in Mathematical Sciences","volume":"606 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86052630","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

DISCUSSION ON QUOTIENT BI-SPACE AND ON PAIRWISE REGULAR AND NORMAL SPACES IN BITOPOLOGICAL SPACES 双拓扑空间中商双空间和对偶正则空间与正规空间的讨论

Advances and Applications in Mathematical Sciences Pub Date : 2019-06-02 DOI: 10.37516/adv.math.sci.2019.0051

M. Arunmaran, K. Kannan

{"title":"DISCUSSION ON QUOTIENT BI-SPACE AND ON PAIRWISE REGULAR AND NORMAL SPACES IN BITOPOLOGICAL SPACES","authors":"M. Arunmaran, K. Kannan","doi":"10.37516/adv.math.sci.2019.0051","DOIUrl":"https://doi.org/10.37516/adv.math.sci.2019.0051","url":null,"abstract":"In this paper, we introduce the concept “Quotient bi-space” in bitopological spaces. In addition, we investigate the results related with quotient bi-space. Moreover, we have discussed the results related with pairwise regular and normal spaces in bitopological space. For a non-empty set X, we can define two topologies (these may be same or distinct topologies) τ1 and τ2 on X. Then, the triple (X, τ1 , τ2 ) is known as bitopological space. Let (X, τ1 , τ2 ) be bitopological space, (Y, σ1 , σ2 ) be trivial bitopological space and f : (X, τ1 , τ2 ) → (Y, σ1 , σ2 ) be onto map. Then f is τ1 τ2 −continuous map. If η = {G (σ −\u0000open set in Y ) : f ^{−1} (G) is τ1 τ2 − open in X} then η is a topology on Y . Moreover, if (Y, σ, σ) be a quotient bi-space of (X, τ1 , τ2) under f : (X, τ1 , τ2 ) → (Y, σ, σ) and g : (Y, σ, σ) → (Z, η1 , η2 ) be a map, then, gis σ − continuous if and only if g ◦ f : (X, τ1 , τ2 ) → (Z, η1 , η2 ) is τ1 τ2 −continuous. Let (X, τ1 , τ2) be bitopological space and A be τ1 τ2 − compact subset of pairwise Hausdorff space X. Then, A is τ1 τ2 − closed set. Finally, we have discussed the following : Let (X, τ1 , τ2 ) be bitopological space and τ1 τ2 −compact pairwise Hausdorff space. Then, the space (X, τ1 , τ2 ) is pairwise normal.","PeriodicalId":53941,"journal":{"name":"Advances and Applications in Mathematical Sciences","volume":"21 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81687137","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

CURTAILING SEVERITY OF DEPRESSION DUE TO SOCIAL PRESSURE BY MEDICATION 通过药物治疗减轻社会压力导致的抑郁症的严重程度

Advances and Applications in Mathematical Sciences Pub Date : 2019-05-28 DOI: 10.37516/adv.math.sci.2019.0042

Nita H. Shah, P. Pandya, A. Suthar

引用次数: 0

COMMON FIXED POINT THEOREMS FOR COMPATIBLE MAPPINGS OF TYPE (A) IN NON-ARCHIMEDEAN MENGER PM-SPACES 非阿基米德menger pm空间中(a)型相容映射的公共不动点定理

Advances and Applications in Mathematical Sciences Pub Date : 2019-01-07 DOI: 10.37516/adv.math.sci.2019.0071

Omar Abu-gdere, M. Rashid

引用次数: 3