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Given the wide range of skin types and the chemicals used in their formulation, it can be difficult to find a product that not only complements the skin type but is also free of potentially harmful ingredients that could endanger the consumer's health. When dealing with ambiguous situations, the multi\u2010attribute decision making (MADM) approach combined with fuzzy set theory is more effective. Type\u20102 fuzzy sets (T2FS) provide greater flexibility in dealing with uncertainty in real\u2010world issues since they are characterised by a main and secondary membership function. In this research, we present the innovative idea of type\u20102 linear diophantine fuzzy set (T2LDFS) as an intriguing tool for capturing expert reluctance about an issue. For analysing the discussed problem, a hybrid fuzzy VIKOR enhanced with the proposed fuzzy logic is suggested. A sensitivity and comparative analysis is carried out to establish the validity of the recommended approach.<\/jats:p>","DOI":"10.1111\/exsy.13541","type":"journal-article","created":{"date-parts":[[2024,1,16]],"date-time":"2024-01-16T23:59:15Z","timestamp":1705449555000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["An augmented fuzzy decision support system to analyse compatible cosmetic face masks for various complexions"],"prefix":"10.1111","volume":"43","author":[{"given":"Joseph Raj Vikilal Joice","family":"Brainy","sequence":"first","affiliation":[{"name":"Department of Mathematics Bharathiar University  Coimbatore India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Samayan","family":"Narayanamoorthy","sequence":"additional","affiliation":[{"name":"Department of Mathematics Bharathiar University  Coimbatore India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Samayan","family":"Kalaiselvan","sequence":"additional","affiliation":[{"name":"Department of Social Work Sri Ramakrishna Mission Vidyalaya College of Arts and Science, SMRV  Coimbatore India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ranganathan","family":"Saraswathy","sequence":"additional","affiliation":[{"name":"Department of Radiology Karpagam Medical College and Hospital  Coimbatore India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ali","family":"Ahmadian","sequence":"additional","affiliation":[{"name":"Decisions Lab Mediterranea University of Reggio Calabria  Reggio Calabria Italy"},{"name":"Faculty of Engineering and Natural Sciences Istanbul Okan University  Istanbul Turkey"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Norazak","family":"Senu","sequence":"additional","affiliation":[{"name":"Institute for Mathematical Research Universiti Putra Malaysia  Serdang Malaysia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7750-3402","authenticated-orcid":false,"given":"Jeonghwan","family":"Jeon","sequence":"additional","affiliation":[{"name":"Department of Industrial &amp; Systems Engineering\/Engineering Research Institute (ERI) Gyeongsang National University  JinJu Republic of Korea"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2024,1,16]]},"reference":[{"key":"e_1_2_12_2_1","doi-asserted-by":"publisher","DOI":"10.1057\/s41283-020-00061-4"},{"issue":"8","key":"e_1_2_12_3_1","first-page":"1128","article-title":"Comparative study of synthetic an d herbal cosmetic products for their toxicity assessment by microbial bioassays","volume":"8","author":"Agarwal M.","year":"2019","journal-title":"International Journal of Scientific and Technology 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