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Multiple Criteria Decision Making Methods with Multi-polar Fuzzy Information: Algorithms and Applications

By (author) Muhammad Akram, By (author) Arooj Adeel

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| book description |

This bookÂ presents anÂ extension of fuzzy set theory allowingÂ for multi-polar information, discussingÂ its impact on the theoretical and practical development of multi-criteria decision making.Â It reports onÂ set of hybrid models developed by the authors,Â and show how they canÂ beÂ adapted, case by case,Â to the lack of certainty under a variety of criteria.Â Among them, hybrid models combiningÂ m-polar fuzzy sets with rough, soft and 2-tuple linguistic sets, andÂ m-polar hesitant fuzzy sets and hesitant m-polar fuzzyÂ are presented, together with some significant applications.Â Â In turn, outranking decision-making techniques such asÂ m-polar fuzzy ELECTRE I, II, III and IV methods, as well as m-polar fuzzy PROMETHEE I and II methods, are developed.Â The efficiency of these decision-making procedures, as well as other possible extensions studied by the authors,Â isÂ shownÂ inÂ some real-world applications.Â Overall, this book offers a guide on methodologies to deal withÂ the multi-polarityÂ and fuzziness of the real-world problems, simultaneously. By including algorithms and computer programming codes, it provides a practice-oriented reference guide to both researchers and professionals working at the interface between computational intelligence and decision making.