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The better the clustering quality of a partition, the better is the interpretation of the data, which is essential to understand real problems. This work proposes two robust FCM algorithms to prevent ambiguous membership into clusters. For this, we compute two types of weights: an weight to avoid the problem of overlapping clusters; and other weight to enable the algorithm to identify clusters of different shapes. We perform a study with synthetic datasets, where each one contains classes of different shapes and different degrees of overlapping. Moreover, the study considered real application datasets. Our results indicate such weights are effective to reduce the ambiguity of membership assignments thus generating a better data interpretation. <\/jats:p>","DOI":"10.1142\/s0218488522500143","type":"journal-article","created":{"date-parts":[[2022,7,21]],"date-time":"2022-07-21T17:10:40Z","timestamp":1658423440000},"page":"567-594","source":"Crossref","is-referenced-by-count":14,"title":["Fuzzy C-Means Clustering Algorithms with Weighted Membership and Distance"],"prefix":"10.1142","volume":"30","author":[{"given":"Bruno Almeida","family":"Pimentel","sequence":"first","affiliation":[{"name":"Instituto de Computa\u00e7\u00e3o, Universidade de Federal de Alagoas (IC-UFAL), Macei\u00f3, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rafael","family":"de Amorim Silva","sequence":"additional","affiliation":[{"name":"Instituto de Computa\u00e7\u00e3o, Universidade de Federal de Alagoas (IC-UFAL), Macei\u00f3, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jadson Crislan Santos","family":"Costa","sequence":"additional","affiliation":[{"name":"Instituto de Computa\u00e7\u00e3o, Universidade de Federal de Alagoas (IC-UFAL), Macei\u00f3, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2022,9,9]]},"reference":[{"key":"S0218488522500143BIB001","volume-title":"Pattern Recognition and Machine Learning","author":"Anzai Y.","year":"2012"},{"key":"S0218488522500143BIB002","volume-title":"An Artificial Intelligence Approach","author":"Mitchell R.","year":"2013"},{"key":"S0218488522500143BIB003","unstructured":"I. 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