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**Thai Journal of Mathematics (TJM)**is a peer-reviewed, open access international journal publishing original research works of high standard in all areas of pure and applied mathematics.

**Publication Frequency**

TJM publishes one volume per year. Usually a volume consists of three issues with about 200 pages each.

Appear : April, August and December. Occasionally special issues are also published. Papers are published as soon as they are accepted.

**____________________________________________________________________****Call for papers**

**A Special Issue of Thai Journal of Mathematics: Entropy in Econometrics**

A Special Issue of Thai Journal of Mathematics is devoted to Entropy in Econometrics and related fields. Authors are invited to submit their theoretical and/or empirical research related to the use of the concept of entropy in econometrics and related areas. The schedule is as follows.

Submission deadline: August 31, 2017

For manuscript format, see http://thaijmath.in.cmu.ac.th

Submit your manuscripts, in pdf files, to hunguyen@nmsu.edu

Announcements of reviewing results: October 8, 2017

Final manuscript submission: October 30, 2017

Final versions of accepted papers should be send electronically, in both pdf and Latex files, to hunguyen@nmsu.edu

with the copyright transfer to the publisher.

The Special Issue will appear in December 2017

Guest Editor: Hung T. Nguyen (hunguyen@nmsu.edu)

Submission deadline: August 31, 2017

For manuscript format, see http://thaijmath.in.cmu.ac.th

Submit your manuscripts, in pdf files, to hunguyen@nmsu.edu

Announcements of reviewing results: October 8, 2017

Final manuscript submission: October 30, 2017

Final versions of accepted papers should be send electronically, in both pdf and Latex files, to hunguyen@nmsu.edu

with the copyright transfer to the publisher.

The Special Issue will appear in December 2017

Guest Editor: Hung T. Nguyen (hunguyen@nmsu.edu)

**____________________________________________________________________**

**Call for papers**

**A Special Issue on AMM2018**

A Special Issue of Thai Journal of Mathematics is Proceeding of the 23rd Annal Meeting in Mathematics (AMM2018), May 3-5, 2018 organized by Departments of Mathematics, Faculty of Science, KMUTT

The schedule is as follows.Submission deadline: August 31, 2018

For manuscript format and submission on http://thaijmath.in.cmu.ac.th choose

Announcements of reviewing results: October 8, 2018

**Special Issue: AMM2018**Announcements of reviewing results: October 8, 2018

Final manuscript submission: October 30, 2018

Final versions of accepted papers should be send electronically, in both pdf and Latex files, to poom.kumam@mail.kmutt.ac.thwith the copyright transfer to the publisher.

The Special Issue will appear in December 2018

Editors: Poom Kumam and Parin Chaipunya, KMUTT

**____________________________________________________________________**

**____________________________________________________________________**

**Reviewing/Indexing**

**is covered Abstracted, Reviewed and Indexeded in:**

Thai J Math.

Thai J Math.

**Mathematical Reviews**,

**MathSciNet**,

**Zentralblatt MATH Database**,

**Google Scholar**and

**Scopus [Elsevier]**

**SCImago Journal Rank (SJR) 2017=0.23**

The SJR indicator measures the scientific influence of the average article in a journal, it expresses how central to the global scientific discussion an average article of the journal is. Cites per Doc. (2y) measures the scientific impact of an average article published in the journal, it is computed using the same formula that journal impact factor ™ (

**Thomson Reuters**).**____________________________________________________________________**

### Special Issue (2018) on: The 22nd Annual Meeting in Mathematics (AMM 2017)

### Table of Contents

#### A Special Issue on AMM2017

Editorial | |

Thanasak Mouktonglang |

Derivation of Lie Groups for Some Higher Order Stochastic Differential Equations | |

Sasikarn Sakulrang, Surattana Sungnul, Boonlert Srihirun, Elvin J. Moore | 1-20 |

An Application of Proper Orthogonal Decomposition for Estimating Missing Data of Patients in Different Cause Groups | |

Norapon Sukuntee, Saifon Chaturantabut | 21-33 |

Metric Space of Subcopulas | |

Jumpol Rachasingho, Santi Tasena | 35-44 |

The Jackknife-Like Method for Assessing Uncertainty of Point Estimates for Bayesian Estimation in a Finite Gaussian Mixture Model | |

Kuntalee Chaisee | 45-58 |

Idempotent of Weak Projection Cohypersubstitutions | |

Nareupanat Lekkoksung, Prakit Jampachon, Somsak Lekkoksung | 59-74 |

Bi-Bases of $\Gamma$-Semigroups | |

Pisit Kummoon, Thawhat Changphas | 75-86 |

On Left and Right A-Ideals of a $\Gamma$-Semigroup | |

Khwancheewa Wattanatripop, Thawhat Changphas | 87-96 |

Natural Partial Order on the Semigroups of Partial Isometries of a Finite Chain | |

Chaiwat Namnak, Ekkachai Laysirikul, Nares Sawatraksa | 97-108 |

All Maximal Submonoids of Special Regular Classes of $Hyp_G(2)$ | |

Weerapong Wongpinit | 109-115 |

Green's Relations and Regularity for the Self-E-Preserving Transformation Semigroups | |

Chaiwat Namnak | 117-125 |

E-Inversive Elements in Some Semigroups of Transformations that Preserve Equivalence | |

Nares Sawatraksa, Punyapat Kammoo, Chaiwat Namnak | 127-132 |

Hyperideals in EL-Semihyperrings | |

Warud Nakkhasen, Bundit Pibaljommee | 133-143 |

Coincidence Point Theorems for Geraghty-Type Contraction Mappings in Generalized Metric Spaces | |

Atit Wiriyapongsanon, Narawadee Phudolsitthiphat | 145-158 |

Common Endpoints for Suzuki Mappings in Uniformly Convex Hyperbolic Spaces | |

Aekkarin Kudtha, Bancha Panyanak | 159-168 |

Fixed Point and Coincidence Point Theorems for Expansive Mappings in Partial $b$-Metric Spaces | |

Somkiat Chaipornjareansri | 169-185 |

The Unique $\gamma$-min Labelings of Graphs | |

Supaporn Saduakdee, Varanoot Khemmani | 187-203 |

Multiple Depot Vehicle Routing Problems on Clustering Algorithms | |

Kanokon Leungsubthawee, Supalin Saranwong, Chulin Likasiri | 205-216 |

Some Remarks on the Large Deviation of the Visited Sites of Simple Random Walk in Random Scenery | |

Parkpoom Phetpradap | 217-226 |

Trading Gold Future with ARIMA-GARCH model | |

Nop Sopipan | 227-238 |

Andronov-Hopf and Neimark-Sacker Bifurcations in Time-Delay Models of HIV Transmission | |

Rachadawan Darlai, Elvin J. Moore, Sanoe Koonprasert | 239-259 |

On Connectedness of Cayley Graphs of Finite Transformation Semigroups | |

Chunya Tisklang, Sayan Panma | 261-271 |

**Copyright** 2018 by the Mathematical Association of Thailand.

All rights reserve. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission of the Mathematical Association of Thailand.

|ISSN 1686-0209|