GENERALIZED FUZZY DIVERGENCE MEASURE, PATTERN RECOGNITION AND INEQUALITIES

Many fuzzy information and divergence measures developed by various researchers and authors. Here, authors proposed new fuzzy divergence measure using the properties of convex function and fuzzy concept. The applications of novel fuzzy divergence measures in pattern recognition with case study, are discussed. Obtained various novel fuzzy information inequalities on fuzzy divergence measures. The new relations among new and existing fuzzy divergence measure by new f-divergence, Jensen inequalities, properties of convex functions and inequalities have studied. Finally, verified these results and proposed fuzzy divergence measures by numerical example.

Decision Support System For Energy Source Selection Based On Credibility Fuzzy Information.

This main objective of this work is to define some new operations of credibility fuzzy numbers using Hamacher t-norm and t-conorm. These operation are more generalized operation for credibility fuzzy numnbers, we apply these operations to aggregation operators for credibility fuzzy numbers. Furthermore, using the basic operational laws of Hamacher t-norm and t-conorm, we develop a series of credibility fuzzy Hamacher aggregation operators like credibility fuzzy Hamacher weighted averaging (CFHWA) and credibility fuzzy Hamacher geometric (CFHWG) aggregation operators. we also explained some of the proposed Hamacher aggregation operators properties like commutativity, idempotency and monotonicity. In order to validate the proposed Hamacher aggregation operators for credibility fuzzy numbers, we develop general algorithm for decision making technique under credibility fuzzy numbers and using these operators. The proposed algorithm is apply to electricity crises in Pakistan problems. Finally a comparison with other existing methods is done to check the accuracy and validation of the proposed methods. At rest the proposed method is verified by other well known methods.

A model intended to choose optimal wooden construction software according to many criteria

Environmental friendliness gains increasing importance for people in constructing modern residential buildings. Wood is a natural polymer with unique properties that make it an excellent choice for the construction of environmentally-friendly new housing. New building technologies have significantly improved the performance of wood as a material. Modern software allows not only to get a 3D-visualization of the project, but to make the house strong and safe, save costs on construction, and reduce the build time of wooden houses. Currently, there are a large number of various software packages for wooden construction, so it may be a problem to choose the appropriate one based on the criteria of the required functionality and cost-effectiveness. Aim. This work aims at the development of a model intended to choose optimal wooden construction software according to many criteria, which will reduce the time of the scientifically grounded decision, and in such a way, increase the efficiency of a wooden house designing process. To achieve this goal, it is necessary to analyze the existing wooden construction software, to consider the criteria for selecting designing programs, to develop a model for scientifically grounded choice of software on many functional and cost criteria in the conditions of fuzzy information; and to provide an example of using this model has been developed. Methodology. A fuzzy multicriteria analysis of variants according to the Bellman-Zade scheme is used. Results. Modern building information technologies have expanded the possibilities of spatial planning of residential, working, shopping, entertainment, sports, and other areas of design. The model for the choice of wooden construction software that allows choosing software according to many functional and cost criteria in the conditions of fuzzy input information is presented. An example of using the developed model for the choice of wooden construction software is given. Practical value. The use of the developed model for wooden construction choice in the conditions of fuzzy information based on many functional and cost criteria will make the choice scientifically grounded.

VIKOR Method for Evaluating the Management Quality of Teacher Education with Probabilistic Hesitant Fuzzy Information

In the era of enhancing the quality of education, teacher quality, as the core factor affecting the quality of education, has received unprecedented attention in the field of education. The monitoring on teacher quality is the basis of fully understanding and effectively improving the quality of teachers in compulsory education within the county. Comprehensive and systematic study on teacher quality control in compulsory education within the county is the key to improve the teacher quality of it as well as improve and complement research in related fields. And in stark contrast to the importance of the problem, there is no in-depth and systematic result on the monitoring on teacher quality within the county which becomes a matter of concern in current research in the field of education issues. And the management quality evaluation of teacher education is frequently viewed as the multiple attribute decision-making (MADM) issue. An extended VIKOR model is established to provide a new approach to solve the management quality evaluation of teacher education. The VIKOR method with probabilistic hesitant fuzzy information is applied to rank the optional solutions. Lastly, a numerical example about management quality evaluation of teacher education is illustrated to test the newly proposed method’s practicability.