Possibilistic Distribution for Selection of Critical Path in Multi Objective Multi-Mode Problem with Trapezoidal Fuzzy Number
Rekh Riddhi Ketankumar1, Jayesh M. Dhodiya2
1Rekh Riddhi Ketankumar, Science & Humanities Dept., RNGPIT, Isroli-Afwa, Surat, India.
2Dr. Jayesh M. Dhodiya, ASHD, SVNIT, Surat, India.

Manuscript received on November 11, 2019. | Revised Manuscript received on November 20 2019. | Manuscript published on 30 November, 2019. | PP: 10833-10843 | Volume-8 Issue-4, November 2019. | Retrieval Number: D4372118419/2019©BEIESP | DOI: 10.35940/ijrte.D4372.118419

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Abstract: Execution of any project with optimum duration, cost, quality and risk is very significant for project administrators in recent very competitive commercial situation. Sometimes it is not possible to have detailed earlier statistics about project criteria. In such situations, estimation of different Decision makers are considered in linguistic variables and altered into triangular fuzzy numbers as fuzzy numbers have ability to deal with vagueness. In this paper, we frame a new multi-mode multi objective critical path problem and suggest a possibilistic methodology to find critical path for a project where three decision makers’ views are considered as three modes of execution in terms of linguistic variables. In this paper have formulated model of multiple mode in project network problem and find its solution with fuzzy programming approach with exponential membership and linear membership function. The proposed approach is useful to solve multi-mode project management problem which calculates optimal critical path according to four criteria- time, cost, risk and quality with three activities modes of execution in fuzzy environment.
Keywords: Critical Path Method, Multi-attribute Decision-Making (MADM), Negative Ideal Solution (NIS), Positive Ideal Solution (PIS), Trapezoidal Fuzzy Number (TFN), TOPSIS.
Scope of the Article: Fuzzy Logics.