فهرس المقالات ‎Neutrosophic set (NS)‎

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  1 - A Hybrid Model for Assessing Student Mathematical Skills
  Michael Voskoglou
  10.30495/tfss.2022.1971496.1052
  Student assessment is a very important process in education, because it helps the instructor to determine student mistakes and to improve their performance by reforming his/her teaching plans. A hybrid assessment method using qualitative grades for evaluating student ma أکثر

  Student assessment is a very important process in education, because it helps the instructor to determine student mistakes and to improve their performance by reforming his/her teaching plans. A hybrid assessment method using qualitative grades for evaluating student mathematical skills is presented in this work. The paper starts with the mathematical background which is necessary for the understanding of its contents. This includes basic information about fuzzy, neutrosophic and soft sets, and about grey numbers. It also includes a description of the use of the center of gravity (COG) defuzzification technique for assessing a student group’s quality performance. The COG technique is compared with the classical method of calculating the GP A index. The hybrid assessment method, which is based on all the previous concepts and processes, is developed next and the article closes with the final conclusion and some recommendations for future research. تفاصيل المقالة
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  2 - ‎Managing the Uncertainty‎: From Probability to Fuzziness‎, Neutrosophy and Soft Sets
  Michael Voskoglou
  10.30495/tfss.2022.1960147.1036
  The present paper reviews and compares the main theories reported in the literature for managing the existing real life uncertainty by listing their advantages and disadvantages. Starting with a comparison of the bivalent logic (including probability) and fuzzy logic, p أکثر

  The present paper reviews and compares the main theories reported in the literature for managing the existing real life uncertainty by listing their advantages and disadvantages. Starting with a comparison of the bivalent logic (including probability) and fuzzy logic, proceeds to a brief description of the primary generalizations of fuzzy sets (FSs) including interval valued FSs, type-2 FSs, intuitionistic FSs, neutrosophic sets, etc. Alternative theories related to fuzziness are also examined including grey system theory, rough sets and soft sets. The conclusion obtained at the end of this discussion is that there is no ideal model for managing the uncertainty; it all depends upon the form, the available data and the existing knowledge about the problem under solution. The combination of all the existing models, however, provides a sufficient framework for efficiently tackling several types of uncertainty appearing in real life. تفاصيل المقالة
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  3 - ‎A “Journey” from Traditional to Fuzzy Methods of Decision-Making
  Michael Gr. Voskoglou
  10.30495/TFSS.2024.1106981
  ‎Decision-making (DM) is one of the most important components of human cognition‎. ‎Starting with a review of the traditional criteria for DM‎, ‎this work presents also a method for the verification of a decision‎, ‎a step of the DM process which‎, ‎due to its special i أکثر

  ‎Decision-making (DM) is one of the most important components of human cognition‎. ‎Starting with a review of the traditional criteria for DM‎, ‎this work presents also a method for the verification of a decision‎, ‎a step of the DM process which‎, ‎due to its special interest‎, ‎is usually examined separately from its other steps‎. ‎Frequently in everyday life‎, ‎however‎, ‎the data of a DM problem are vague and characterized by uncertainty‎. ‎In such cases the traditional techniques for DM‎, ‎which are based on principles of the bivalent logic (yes-no)‎, ‎cannot help effectively in making the right decision‎. ‎The first who introduced principles of the fuzzy sets theory in DM were Bellman and Zadeh in 1970 and an example is given here illustrating their fuzzy criterion for DM‎. ‎Also‎, ‎among the several fuzzy methods proposed later by other researchers for a more effective DM‎, ‎a hybrid method is developed here for parametric multiple-criteria DM using soft sets and grey numbers (or intuitionistic fuzzy sets‎, ‎or neutrosophic sets) as tools‎, ‎which improves an earlier method proposed by Maji et al‎. ‎in 2002‎. ‎All the DM approaches presented in this paper are illustrated with everyday practical examples‎. تفاصيل المقالة