IJPAM: Volume 101, No. 4 (2015)
PROBLEMS BASED ON INTERVAL-VALUED HESITANT
FUZZY SETS AND A NEW APPROACH TO FIND
CRITICAL PATH USING HESITANT FUZZY
Department of Mathematics
Mahatma Gandhi Avenue, A-Zone, Durgapur
West Bengal, 713209, INDIA
Abstract. Critical path method is widely used in project scheduling and controlling. The task of finding the crisp critical path has received researcher's attention over the past two decades. It has wide range of applications in planning and scheduling the large projects. The unknowns and vagueness about the time duration for activities in network-planning have led to the development of fuzzy critical path. To express more uncertainty and people's hesitancy in daily life, hesitant fuzzy is a very useful technique. In this paper we introduce a new method to find critical path using hesitant fuzzy in a network where total completion times of a project in more than one path are same. In other words, by considering hesitant fuzzy we can overcome the problem that arises when more than one path are having the same total crisp activity time. We introduce a new operator as well to be used in ranking methods and apply hesitant fuzzy (as hesitant fuzzy is a very useful technique to express people's hesitancy in daily life) for activity times to find out the critical path. To be precise, in this paper a new operator (to be used in ranking methods) and a solution to above mentioned critical path problem (using hesitant fuzzy) have been discussed with the aid of a numerical example.
Received: June 28, 2014
AMS Subject Classification: 90B99, 90B50
Key Words and Phrases: Hesitant fuzzy critical path, project management, score function
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DOI: 10.12732/ijpam.v101i4.1 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 445 - 461