{"id":1571,"date":"2021-11-15T14:20:42","date_gmt":"2021-11-15T14:20:42","guid":{"rendered":"https:\/\/blogs.zeiss.com\/digital-innovation\/en\/?p=1571"},"modified":"2022-06-20T10:54:03","modified_gmt":"2022-06-20T10:54:03","slug":"the-perfect-decision-matrix","status":"publish","type":"post","link":"https:\/\/blogs.zeiss.com\/digital-innovation\/en\/the-perfect-decision-matrix\/","title":{"rendered":"Evaluate with matrices &#8211; The perfect decision matrix"},"content":{"rendered":"\n<p>A not inconsiderable part of the work of a software architect consists of comparing different solution alternatives with each other. Decision tables or evaluation matrices are often used for this purpose,&nbsp;whereby&nbsp;both terms are usually used synonymously. This article aims to provide an insight into two basic approaches and to evaluate them according to their suitability.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-medium\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"400\" src=\"https:\/\/blogs.zeiss.com\/digital-innovation\/en\/wp-content\/uploads\/sites\/3\/2021\/11\/202111_Entscheidungsmatrix-600x400.jpg\" alt=\"Symbolical image showing a persons's feet in white sneakers standing on a painted white arrow on an asphalt street pointing in two directions\" class=\"wp-image-1582\" srcset=\"https:\/\/blogs.zeiss.com\/digital-innovation\/en\/wp-content\/uploads\/sites\/3\/2021\/11\/202111_Entscheidungsmatrix-600x400.jpg 600w, https:\/\/blogs.zeiss.com\/digital-innovation\/en\/wp-content\/uploads\/sites\/3\/2021\/11\/202111_Entscheidungsmatrix-1024x682.jpg 1024w, https:\/\/blogs.zeiss.com\/digital-innovation\/en\/wp-content\/uploads\/sites\/3\/2021\/11\/202111_Entscheidungsmatrix-768x512.jpg 768w, https:\/\/blogs.zeiss.com\/digital-innovation\/en\/wp-content\/uploads\/sites\/3\/2021\/11\/202111_Entscheidungsmatrix-1536x1024.jpg 1536w, https:\/\/blogs.zeiss.com\/digital-innovation\/en\/wp-content\/uploads\/sites\/3\/2021\/11\/202111_Entscheidungsmatrix-640x427.jpg 640w, https:\/\/blogs.zeiss.com\/digital-innovation\/en\/wp-content\/uploads\/sites\/3\/2021\/11\/202111_Entscheidungsmatrix-1200x800.jpg 1200w, https:\/\/blogs.zeiss.com\/digital-innovation\/en\/wp-content\/uploads\/sites\/3\/2021\/11\/202111_Entscheidungsmatrix.jpg 1688w\" sizes=\"auto, (max-width: 639px) 98vw, (max-width: 1199px) 64vw, 600px\" \/><figcaption><em><em>Figure 1: Software architects often&nbsp;have to&nbsp;compare different solution alternatives with each other. To do this, they often use certain evaluation matrices.<\/em>&nbsp;<\/em><\/figcaption><\/figure>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"arten-von-bewertungsmatrizen-50b3fbc7-5e3d-4152-9b41-29d245703813\"><strong>Types of evaluation matrices<\/strong>&nbsp;<\/h2>\n\n\n\n<p>Evaluation methods for comparing several options range from simple rankings based on voting to complicated evaluation methods based on matrices&nbsp;calculations. The challenge is to find the most appropriate methodology for&nbsp;an&nbsp;objectified&nbsp;evaluation&nbsp;of&nbsp;the comparison of two options&nbsp;available.&nbsp;Criteria for this are:&nbsp;&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Fast&nbsp;comparison&nbsp;<\/li><li>Simple,&nbsp;uncomplicated&nbsp;procedure&nbsp;<\/li><li>Little&nbsp;to&nbsp;no&nbsp;training&nbsp;time<\/li><li>Any&nbsp;number&nbsp;of&nbsp;people&nbsp;<\/li><\/ul>\n\n\n\n<p>After a brief comparison of the evaluation methods based on the criteria mentioned, the very widespread and well-known utility value analysis turns out to be the method of choice here. Why? Because it is an uncomplicated and simple way of comparing options&nbsp;on the basis of&nbsp;various criteria without the need for a great deal of mathematical effort. In the utility value analysis, the variants are evaluated with a score using weighted criteria, the weighting and score are multiplied together and all the evaluations for an option are added up (see example).<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.zeiss.com\/digital-innovation\/en\/wp-content\/uploads\/sites\/3\/2021\/11\/202111_Entscheidungsmatrix_2_EN-1024x289.png\" alt=\"table showing weighted criteria\" class=\"wp-image-1599\" width=\"571\" height=\"161\" srcset=\"https:\/\/blogs.zeiss.com\/digital-innovation\/en\/wp-content\/uploads\/sites\/3\/2021\/11\/202111_Entscheidungsmatrix_2_EN-1024x289.png 1024w, https:\/\/blogs.zeiss.com\/digital-innovation\/en\/wp-content\/uploads\/sites\/3\/2021\/11\/202111_Entscheidungsmatrix_2_EN-600x170.png 600w, https:\/\/blogs.zeiss.com\/digital-innovation\/en\/wp-content\/uploads\/sites\/3\/2021\/11\/202111_Entscheidungsmatrix_2_EN-768x217.png 768w, https:\/\/blogs.zeiss.com\/digital-innovation\/en\/wp-content\/uploads\/sites\/3\/2021\/11\/202111_Entscheidungsmatrix_2_EN-640x181.png 640w, https:\/\/blogs.zeiss.com\/digital-innovation\/en\/wp-content\/uploads\/sites\/3\/2021\/11\/202111_Entscheidungsmatrix_2_EN.png 1097w\" sizes=\"auto, (max-width: 639px) 98vw, (max-width: 1199px) 64vw, 571px\" \/><figcaption><em>Figure 2: Evaluation of the individual variants in a utility value analysis<\/em>&nbsp;<\/figcaption><\/figure>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>This procedure should be familiar to almost everyone and is also used in practice in many areas. In addition to the&nbsp;evaluation&nbsp;by the person giving the score, there is a potential source of subjective error: the weighting of the criteria. Since score allocation cannot be made more objective, a way of calculating the weighting objectively must be found. This is&nbsp;absolutely essential&nbsp;if a meaningful utility&nbsp;value&nbsp;analysis is required. Objective weighting ensures that no &#8220;mindless&#8221; decisions are made,&nbsp;e.g.&nbsp;due to time pressure, and that the weighting is as independent of the observer as possible.&nbsp;<\/p>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"verfahren-zur-gewichtungsberechnung-51610774-9b34-4d6b-8985-d14000a1c030\"><strong>Procedure for calculating weighting<\/strong>&nbsp;<\/h2>\n\n\n\n<p>As with the utility&nbsp;value&nbsp;analysis, the procedure should be uncomplicated, quick and require no training. Under these premises, two procedures&nbsp;in particular emerge, which are briefly explained&nbsp;in the following&nbsp;below.<\/p>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"abgestufte-gewichtung--fb17573f-6693-483b-9af2-e027c4b38bf6\"><strong><strong>Graduated weighting<\/strong><\/strong><\/h3>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-1 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>In the graduated weighting calculation, all criteria are compared with each other in terms of their importance. Thereby, the scale comprises five gradations from&nbsp;<strong>-2:<\/strong>&nbsp;&#8220;significantly lower importance&#8221; to&nbsp;<strong>2:&nbsp;<\/strong>&#8220;significantly higher importance&#8221;. This granular assessment must therefore be made for each pairing of criteria. The weighting is then calculated using a method&nbsp;similar to&nbsp;matrices&nbsp;calculation.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"580\" height=\"284\" src=\"https:\/\/blogs.zeiss.com\/digital-innovation\/en\/wp-content\/uploads\/sites\/3\/2021\/11\/202111_Entscheidungsmatrix_3_EN.png\" alt=\"table showing the scale of five gradations\" class=\"wp-image-1601\"\/><figcaption><em>Figure 3: Example of a scale with graduated weighting<\/em>&nbsp;<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"prioritatengewichtung-0894cf50-7da5-4a91-a92d-92ed9e073fc3\"><strong><strong>Priority weighting<\/strong>&nbsp;<\/strong><\/h3>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-2 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>Here, the granular&nbsp;evaluation&nbsp;is dispensed with and a distinction is only made between &#8220;more important&#8221; and &#8220;less important&#8221;. Thus, each criterion is compared with each other and the more important one is noted in the table. The relative proportion of the number of&nbsp;a&nbsp;criterion&nbsp;is then used to determine the weighting. This procedure can be integrated well in a team, because after the ranking by the individuals, all results can be combined and thus a representative weighting is obtained.&nbsp;<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"590\" height=\"159\" src=\"https:\/\/blogs.zeiss.com\/digital-innovation\/en\/wp-content\/uploads\/sites\/3\/2021\/11\/202111_Entscheidungsmatrix_4_EN.png\" alt=\"table showing priority weighting\" class=\"wp-image-1602\"\/><figcaption><em>Figure 4: Example of priority weighting of individual criteria<\/em>&nbsp;<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"wann-ist-welches-verfahren-geeignet-4827ef6a-d2da-44e2-a85a-7b59b8bef11e\"><strong>When is which procedure suitable?<\/strong>&nbsp;<\/h2>\n\n\n\n<p>In principle, any weighting procedure can be used in any situation. However, the following table gives indications for which calculation method can be advantageous in which circumstances.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Graduated weighting<\/strong>&nbsp;<\/td><td><strong>Priority weighting<\/strong>&nbsp;<\/td><\/tr><tr><td>Low&nbsp;number&nbsp;of&nbsp;criteria&nbsp;<\/td><td>High&nbsp;number&nbsp;of&nbsp;criteria&nbsp;<\/td><\/tr><tr><td>Low number of evaluating persons&nbsp;<\/td><td>High number of evaluating persons&nbsp;<\/td><\/tr><tr><td>Sufficient&nbsp;time&nbsp;available&nbsp;<\/td><td>Little time&nbsp;available&nbsp;<\/td><\/tr><tr><td>Especially&nbsp;important&nbsp;decision&nbsp;<\/td><td><em>\u202f<\/em>&nbsp;<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>In summary, it can be said that the procedure of graduated weighting is often too&nbsp;labour-intensive&nbsp;if one assumes in practice that decisions are sometimes not even accompanied by a representative evaluation procedure. Priority weighting, on the other hand, is an uncomplicated option that can be quickly understood&nbsp;and also&nbsp;implemented in a team and is therefore particularly recommended.&nbsp;<\/p>\n\n\n\n<p>In addition to the utility value analysis, other methods and indicators can be used to compare variants, such as standard deviation, number of gains\/losses, etc., which should make the final decision easier, but which are not part of this article.&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A not inconsiderable part of the work of a software architect consists of comparing different solution alternatives with each other. Decision tables or evaluation matrices are often used for this purpose,\u00a0whereby\u00a0both terms are usually used synonymously. This article aims to provide an insight into two basic approaches and to evaluate them according to their suitability.<\/p>\n","protected":false},"author":131,"featured_media":1583,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"categories":[803,13],"tags":[203,675,735,736,737,738,739,740,741],"topics":[],"class_list":["post-1571","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-software-services","category-dot-net","tag-editorschoice","tag-zeiss-digital-innovation","tag-decision","tag-decision-matrix","tag-matrices","tag-evaluation","tag-software-architect","tag-alternative-solutions","tag-evaluation-process"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The perfect decision matrix - ZEISS Digital Innovation Blog<\/title>\n<meta name=\"description\" content=\"The article is about two proceeds for softwarearchitects to compare different solution approaches and to present and assess them.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/blogs.zeiss.com\/digital-innovation\/en\/the-perfect-decision-matrix\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The perfect decision matrix - ZEISS Digital Innovation Blog\" \/>\n<meta property=\"og:description\" content=\"The article is about two proceeds for softwarearchitects to compare different solution approaches and to present and assess them.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/blogs.zeiss.com\/digital-innovation\/en\/the-perfect-decision-matrix\/\" \/>\n<meta property=\"og:site_name\" content=\"Digital Innovation Blog\" \/>\n<meta property=\"article:published_time\" content=\"2021-11-15T14:20:42+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-06-20T10:54:03+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/blogs.zeiss.com\/digital-innovation\/en\/wp-content\/uploads\/sites\/3\/2021\/11\/202111_Entscheidungsmatrix.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1688\" \/>\n\t<meta property=\"og:image:height\" content=\"1125\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Nina P\u00fcschmann\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"The perfect decision matrix - ZEISS Digital Innovation Blog\" \/>\n<meta name=\"twitter:description\" content=\"A not inconsiderable part of the work of a software architect consists of comparing different solution alternatives with each other. 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with matrices &#8211; The perfect decision matrix"}]},{"@type":"WebSite","@id":"https:\/\/blogs.zeiss.com\/digital-innovation\/en\/#website","url":"https:\/\/blogs.zeiss.com\/digital-innovation\/en\/","name":"Digital Innovation Blog","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/blogs.zeiss.com\/digital-innovation\/en\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/blogs.zeiss.com\/digital-innovation\/en\/#\/schema\/person\/2c9164e1ca32ce348bf698458a5af4fb","name":"Nina 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