{"product_id":"choquet-capacities-and-fuzzy-integrals-gleb-beliakov-ebook","title":"Choquet Capacities and Fuzzy Integrals","description":"\u003cp\u003e\u003cspan lang=\"EN-US\"\u003eChoquet capacities, which provide the weighting mechanism for the Choquet and other fuzzy integrals, model synergistic and antagonistic interactions between variables by assigning value to all subsets rather than individual inputs. \u003cspan style=\"mso-spacerun: yes;\"\u003e \u003c\/span\u003e\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan lang=\"EN-US\"\u003eWhile the flexibility of capacities (also referred to as fuzzy measures and cooperative games) comes at the expense of an exponentially increasing number of parameters, the ability to explain their behavior using various value and interaction indices makes them appealing for applications requiring transparency and interpretability. As well as a number of useful indices that in some way capture the extent to which positive and negative interactions occur, significant progress has been made in addressing the scalability issues that arise in applications.\u003cspan style=\"mso-spacerun: yes;\"\u003e  \u003c\/span\u003eThis book provides a detailed overview of the background concepts relating to capacities and their role in fuzzy integration and aggregation, then presents specialised chapters on most recent results in learning, random sampling and optimization that involve Choquet capacities.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003e\u003cspan lang=\"EN-US\"\u003eTopics and features:\u003c\/span\u003e\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp style=\"margin-left: 72.0pt; text-indent: -18.0pt; mso-list: l0 level1 lfo1;\"\u003e\u003c!-- [if !supportLists]--\u003e\u003cspan lang=\"EN-US\" style=\"font-family: Symbol; mso-fareast-font-family: Symbol; mso-bidi-font-family: Symbol;\"\u003e\u003cspan style=\"mso-list: Ignore;\"\u003e·\u003cspan style=\"font: 7.0pt 'Times New Roman';\"\u003e       \u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c!--[endif]--\u003e\u003cspan lang=\"EN-US\"\u003eFundamentals of Choquet capacities (fuzzy measures) and their use in modeling importance and interaction between variables\u003c\/span\u003e\u003c\/p\u003e\n\u003cp style=\"margin-left: 72.0pt; text-indent: -18.0pt; mso-list: l0 level1 lfo1;\"\u003e\u003c!-- [if !supportLists]--\u003e\u003cspan lang=\"EN-US\" style=\"font-family: Symbol; mso-fareast-font-family: Symbol; mso-bidi-font-family: Symbol;\"\u003e\u003cspan style=\"mso-list: Ignore;\"\u003e·\u003cspan style=\"font: 7.0pt 'Times New Roman';\"\u003e       \u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c!--[endif]--\u003e\u003cspan lang=\"EN-US\"\u003eDefinitions, properties and mappings between alternative representations that allow capacities and fuzzy integrals to be interpreted and applied in different settings\u003c\/span\u003e\u003c\/p\u003e\n\u003cp style=\"margin-left: 72.0pt; text-indent: -18.0pt; mso-list: l0 level1 lfo1;\"\u003e\u003c!-- [if !supportLists]--\u003e\u003cspan lang=\"EN-US\" style=\"font-family: Symbol; mso-fareast-font-family: Symbol; mso-bidi-font-family: Symbol;\"\u003e\u003cspan style=\"mso-list: Ignore;\"\u003e·\u003cspan style=\"font: 7.0pt 'Times New Roman';\"\u003e       \u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c!--[endif]--\u003e\u003cspan lang=\"EN-US\"\u003eVarious simplification assumptions, from k-additive, p-symmetric and \u003c\/span\u003e\u003cspan lang=\"EN-US\" style=\"font-family: Symbol; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-char-type: symbol; mso-symbol-font-family: Symbol;\"\u003e\u003cspan style=\"mso-char-type: symbol; mso-symbol-font-family: Symbol;\"\u003el\u003c\/span\u003e\u003c\/span\u003e\u003cspan lang=\"EN-US\"\u003e-measures to more recent concepts such as k-interactive and hierarchical frameworks\u003c\/span\u003e\u003c\/p\u003e\n\u003cp style=\"margin-left: 72.0pt; text-indent: -18.0pt; mso-list: l0 level1 lfo1;\"\u003e\u003c!-- [if !supportLists]--\u003e\u003cspan lang=\"EN-US\" style=\"font-family: Symbol; mso-fareast-font-family: Symbol; mso-bidi-font-family: Symbol;\"\u003e\u003cspan style=\"mso-list: Ignore;\"\u003e·\u003cspan style=\"font: 7.0pt 'Times New Roman';\"\u003e       \u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c!--[endif]--\u003e\u003cspan lang=\"EN-US\"\u003eCapacity learning formulations that allow the diverse types to be elicited from datasets or according to user-specified requirements\u003c\/span\u003e\u003c\/p\u003e\n\u003cp style=\"margin-left: 72.0pt; text-indent: -18.0pt; mso-list: l0 level1 lfo1;\"\u003e\u003c!-- [if !supportLists]--\u003e\u003cspan lang=\"EN-US\" style=\"font-family: Symbol; mso-fareast-font-family: Symbol; mso-bidi-font-family: Symbol;\"\u003e\u003cspan style=\"mso-list: Ignore;\"\u003e·\u003cspan style=\"font: 7.0pt 'Times New Roman';\"\u003e       \u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c!--[endif]--\u003e\u003cspan lang=\"EN-US\"\u003eRecent findings related to random sampling and optimisation with Choquet integral objectives\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan lang=\"EN-US\"\u003eThis book includes illustrative examples and guidance for implementation, including an appendix detailing functions found in the pyfmtools software library. It aims to be useful for practitioners and researchers in decision and data-driven fields, or those who wish to apply these emerging tools to new problems. \u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan lang=\"EN-US\"\u003eThe authors are all affiliated with the School of Information Technology at Deakin University, Australia. \u003cstrong\u003eGleb Beliakov\u003c\/strong\u003e is a professor, \u003cstrong\u003eSimon James\u003c\/strong\u003e is an Associate Professor,\u003cstrong\u003e \u003c\/strong\u003eand \u003cstrong\u003eJian-Zhang Wu\u003c\/strong\u003e is a Research Fellow.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp class=\"MsoNormal\"\u003e\u003cspan lang=\"EN-US\"\u003e \u003c\/span\u003e\u003c\/p\u003e","brand":"Gleb Beliakov","offers":[{"title":"Default Title","offer_id":53652918993223,"sku":"9783031970702","price":85.59,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0920\/5455\/2903\/files\/choquet-capacities-and-fuzzy-integrals-ebook-cover.webp?v=1775386022","url":"https:\/\/www.cinebuch.de\/products\/choquet-capacities-and-fuzzy-integrals-gleb-beliakov-ebook","provider":"CineBuch","version":"1.0","type":"link"}