Evaluation of faculty members is very significant for educational organization to prompt reputation of the organization and to provide quality education. Teaching staff, the pillars of the educational institution, can change the whole nation stimulating the magnet of interest, knowledge, and wisdom in the pupils. Selecting a better academic staff among the others is very crucial for Human Resources Management (HRM) as the success of any organization solely depends on how well it selects its manpower. Institute managing committee must have a reliable technique to judge a teachers’ ranking through multiple conflicting criteria because different teachers have various capabilities. In Bangladesh, it is a common practice in public engineering universities to select teachers only having good academic records. But teaching staff selection problem is a multi-staged decision-making problem having both quantitative and qualitative criteria. It is evident that it has become challenging as the number of alternatives and conflicting criteria increases. In this paper, a structured framework has been developed using MCDM methods both in fuzzy as well as non-fuzzy environments in the renowned engineering university of Bangladesh, where seven candidates under fifteen different sub-criteria are evaluated and ranked. The study helps the recruitment panel of educational organization in Bangladesh select the most eligible academic staff for required posts.