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The cyclic crossover operation is applied in a regular interval of iterations on the best found solution and each solution of the final population of BA for the enhancement of the exploration as well as exploitation of the search process. K-Opt operation is applied on the population in each iteration of the BA with some probability for the exploitation. The algorithm is tested with a set of benchmark test instances of the TSPLIB. The algorithm produces exact results for a set of significantly large size problems. For the TSPs in fuzzy environment, a fuzzy simulation approach is proposed to deal with the fuzzy data having linear as well as non-linear membership functions. Also, a rough simulation process is proposed to deal with the TSPs in the rough environment where rough estimation can be done following any type of rough measure. The performance of the algorithm is compared with the state-of-the-art algorithms for the TSPs with crisp cost matrices using different statistical tools.<\/jats:p>","DOI":"10.1142\/s0218488523500447","type":"journal-article","created":{"date-parts":[[2023,12,21]],"date-time":"2023-12-21T05:48:14Z","timestamp":1703137694000},"page":"975-1003","source":"Crossref","is-referenced-by-count":3,"title":["Coordination of Cyclic crossover and Bat Algorithm for the Travelling Salesman Problems in Different Environments: A Simulation Approach"],"prefix":"10.1142","volume":"31","author":[{"given":"Sova","family":"Pal","sequence":"first","affiliation":[{"name":"Department of Computer Science, Yogoda Satsanga Palpara Mahavidyalaya, Palpara, Purba-Medinipur, West Bengal 721458, India"}]},{"given":"Prasanta","family":"Dutta","sequence":"additional","affiliation":[{"name":"Department of Computer Science, Debra Thana SSK MV, Paschim-Medinipur, West Bengal, India"}]},{"given":"Indadul","family":"Khan","sequence":"additional","affiliation":[{"name":"Department of Computer Science, Chandrakon Vidyasagar Mahavidyalaya, Paschim-Medinipur, West Bengal 721201, India"}]},{"given":"Prasenjit","family":"Pramanik","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Paschim-Medinipur, Midnapore, West Bengal 721102, India"}]},{"given":"Ajoy Kumar","family":"Maiti","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Raja Narendra Lal Khan Women\u2019s College, Midnapore, West Bengal 721102, India"}]},{"given":"Manas Kumar","family":"Maiti","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Mahishadal Raj College, Mahishadal, Purba-Medinipur, West Bengal 721628, India"}]}],"member":"219","published-online":{"date-parts":[[2023,12,20]]},"reference":[{"key":"S0218488523500447BIB001","doi-asserted-by":"publisher","DOI":"10.1109\/EICT.2014.6777868"},{"key":"S0218488523500447BIB002","doi-asserted-by":"publisher","DOI":"10.1287\/opre.2.4.393"},{"key":"S0218488523500447BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.swevo.2011.02.002"},{"key":"S0218488523500447BIB004","doi-asserted-by":"publisher","DOI":"10.1109\/3477.484436"},{"key":"S0218488523500447BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2017.01.053"},{"key":"S0218488523500447BIB006","doi-asserted-by":"publisher","DOI":"10.2991\/ijcis.d.200117.001"},{"key":"S0218488523500447BIB007","doi-asserted-by":"publisher","DOI":"10.1109\/INISTA.2011.5946125"},{"key":"S0218488523500447BIB008","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488519500314"},{"key":"S0218488523500447BIB009","series-title":"Advances in Intelligent Systems and Computing","volume-title":"Proceedings of the 4th International Conference on Frontiers in Intelligent Computing: Theory and Applications (FICTA)","volume":"404","author":"Khanra A.","year":"2015"},{"key":"S0218488523500447BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2015.06.018"},{"key":"S0218488523500447BIB011","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-151913"},{"key":"S0218488523500447BIB012","first-page":"103","volume-title":"International Conference on Mathematics and Computing, Communication in Computer and information science","volume":"655","author":"Khan I.","year":"2017"},{"volume-title":"The traveling salesman problem: A guided tour of combinatorial optimization","year":"1985","author":"Lawler E. 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