1. mγ-Continuous Multifunction in Fuzzy Setting

    Anjana Bhattacharyya

    Department of Mathematics, Victoria Institution (College), 78 B, A.P.C. Road, Kolkata – 700009, India.

    Abstract: In this paper a new type of fuzzy multifunction is introduced between a set having minimal structure and a fuzzy topological space by introducing m-γ-open set in m-space. Several characterizations and properties of this fuzzy multifunction are studied here. Also the mutual relationships of this newly defined fuzzy multifunction with the fuzzy multifunctions defined in [8] are established here.

    Keywords:  m-γ-open set, m-γ-compact space, m-γ-frontier of a set, fuzzy compact space, m-extremally disconnected space.

    Pages: 257 – 279 | Full PDF Paper
  2. Some Issues of Data Sufficiency in Problems

    Manana Deisadze, Shalva Kirtadze, Vladimer Adeishvili

    Associate Professor Teaching Methodology at Akaki Tsereteli State University, Kutaisi, Georgia.


    True awareness of every science field includes deep understanding of major concepts and regularities of the field itself. Understanding the concept content includes logical connections with other concepts – a systematic approach. Detailed study of mathematical conditions develops logical thinking, creativeness and applicability of thinking. Actually, this should initially be implemented on school level, then, at the university, specifically, at the Faculty of Pedagogics in order to enable prospective teachers to provide their students with general mathematical skills in school years.

    Problem solving occupies huge portion in math studies. Understanding the structure of a problem, identifying the correlations between quantities of its text, whether the problem condition is enough to answer the question stated in the problem itself, appeared to be difficult for the majority of students and a number of teachers during teacher training meetings and throughout a long time of experience with students.

    Taking this into account, we think it is important to analyze the problems with conditions and questions regarding the sufficiency of the provided conditions to answer the problems. The present work offers three types of problems that after being stated and resolved will help to achieve the goal.

    Pages: 280 – 284 | Full PDF Paper