{'fraction_non_alphanumeric': 0.011984021304926764, 'fraction_numerical': 0.0, 'mean_word_length': 5.319327731092437, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
A New Approach for Solving Fuzzy Critical Path Problem Using L-L Fuzzy Numbers

This paper presents Linear programming models to calculate fuzzy earliest and fuzzy latest events time in project scheduling problem with L-L fuzzy numbers as activity times. The solution methodology is to apply a combination of Zadeh’s extension principle and linear programming model. The membership function of earliest and latest times of events are derived by calculating lower and upper bounds of earliest and latest times considering different α-cuts of fuzzy duration. The resulting approach avoids generating negative and infeasible solution. A numerical illustration is given to demonstrate superiority of proposed models over existing models in the literature.