[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-31896":3,"doc-seo-31896":27},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"file_id":15,"file_url":16,"file_type":17,"file_size":18,"view_count":4,"is_deleted":4,"is_public":19,"is_downloadable":19,"audit_status":19,"page_count":20,"language":21,"language_code":22,"table_of_contents":23,"faqs":24,"seo_title":13,"seo_description":14,"update_tm":25,"read_time":26},31896,3848291630094,"Emma Wilson","https://eur-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45",8,"Research & Report","Analytic Network Process Algorithm","The Analytical Network Process (ANP) is a multicriteria decision analysis method designed to support decision making through pairwise comparisons and feedback among interconnected components. The paper presents the full mathematics behind ANP, providing a precise, implementable algorithm that clarifies how each step works for simple, hierarchical, and BOCR model variants. The proposed algorithm supports development of custom software tools and can be adapted to handle ordinary and exceptional cases, strengthening practical use in decision support systems.","cbCaiptLv1xILeLl","https://ap.wps.com/l/cbCaiptLv1xILeLl","pdf",522248,1,12,"English","en","# Introduction\n## ANP as a generalization of AHP\n## Clusters, criteria, and dependencies\n## Computational workflow and priorities\n# ANP Method\n## Step 1: Network structure configuration\n## Step 2: Identifying dependencies","[{\"question\":\"What is the Analytical Network Process (ANP) and what is its purpose?\",\"answer\":\"ANP is a multicriteria decision analysis method used to support decision making. It uses pairwise comparisons and allows feedback by modeling inner and outer dependencies among components.\"},{\"question\":\"How does ANP relate to AHP and what key difference does it introduce?\",\"answer\":\"ANP generalizes AHP by supporting feedback and interaction through dependencies between elements. AHP creates a graph and relies on pairwise comparisons to determine priorities, while ANP allows inner and external links among model components.\"},{\"question\":\"What does the paper provide for implementing ANP in practice?\",\"answer\":\"The paper provides detailed mathematics and an exact integrated algorithm covering the ANP method family, including both ordinary and exceptional cases. It is intended to help users understand and implement ANP and related variants in software tools.\"}]",1780434063,30,{"code":4,"msg":28,"data":29},"ok",{"site_id":30,"language":22,"slug":31,"title":13,"keywords":32,"description":14,"schema_data":33,"social_meta":84,"head_meta":86,"extra_data":88,"updated_unix":25},105,"analytic-network-process-algorithm","",{"@graph":34,"@context":83},[35,52,66],{"@type":36,"itemListElement":37},"BreadcrumbList",[38,42,46,49],{"item":39,"name":40,"@type":41,"position":19},"https://docshare.wps.com","Home","ListItem",{"item":43,"name":44,"@type":41,"position":45},"https://docshare.wps.com/document/","Document",2,{"item":47,"name":12,"@type":41,"position":48},"https://docshare.wps.com/document/research-report/",3,{"item":50,"name":13,"@type":41,"position":51},"https://docshare.wps.com/document/analytic-network-process-algorithm/31896/",4,{"url":50,"name":13,"@type":53,"author":54,"headline":13,"publisher":56,"fileFormat":59,"description":14,"dateModified":60,"datePublished":60,"encodingFormat":59,"isAccessibleForFree":61,"interactionStatistic":62},"DigitalDocument",{"name":9,"@type":55},"Person",{"url":39,"name":57,"@type":58},"DocShare","Organization","application/pdf","2026-06-02",true,{"@type":63,"interactionType":64,"userInteractionCount":4},"InteractionCounter",{"@type":65},"ViewAction",{"@type":67,"mainEntity":68},"FAQPage",[69,75,79],{"name":70,"@type":71,"acceptedAnswer":72},"What is the Analytical Network Process (ANP) and what is its purpose?","Question",{"text":73,"@type":74},"ANP is a multicriteria decision analysis method used to support decision making. It uses pairwise comparisons and allows feedback by modeling inner and outer dependencies among components.","Answer",{"name":76,"@type":71,"acceptedAnswer":77},"How does ANP relate to AHP and what key difference does it introduce?",{"text":78,"@type":74},"ANP generalizes AHP by supporting feedback and interaction through dependencies between elements. AHP creates a graph and relies on pairwise comparisons to determine priorities, while ANP allows inner and external links among model components.",{"name":80,"@type":71,"acceptedAnswer":81},"What does the paper provide for implementing ANP in practice?",{"text":82,"@type":74},"The paper provides detailed mathematics and an exact integrated algorithm covering the ANP method family, including both ordinary and exceptional cases. It is intended to help users understand and implement ANP and related variants in software tools.","https://schema.org",{"og:url":50,"og:type":85,"og:title":13,"og:site_name":57,"og:description":14},"article",{"robots":87,"canonical":50},"index,follow",{"doc_id":7,"site_id":30}]