Probability Theory for Fuzzy Quantum Spaces with Statistical Applications

Statistical Applications

Author(s): Renáta Bartková, Beloslav Riečan and Anna Tirpáková

Pp: 153-167 (15)

DOI: 10.2174/9781681085388117010008

* (Excluding Mailing and Handling)

Abstract

In this chapter we compare two methods applied to reduce the dimensionality of data sets. The first method is Principal component analysis, and second method is Factor analysis. We present these methods on data from Atanassov’s intuitionistic fuzzy sets [6]. Earlier we construct an example of applying these methods. The calculations are performed in program R.


Keywords: Principal component analysis, Factor analysis, Atanassov intuitionistic fuzzy sets, Membership function, Non-membership function, Hesitation margin, Correlation, Correlation matrix, Eigenvalues.

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      • 15. middleware::check_user_access:114
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      • 17. app/Http/Controllers/ChapterController.php:1434
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      • 11. app/Models/ContentAccess.php:647
      • 12. app/Http/Controllers/ChapterController.php:1478
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      • 13. app/Models/UserAccess/UserAccess.php:1266
      • 14. app/Http/Controllers/ChapterController.php:1518
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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      780μsalphaeurekaselec_live_10_06_2022UserAccess.php#1266
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      • 13. app/Models/UserAccess/UserAccess.php:1266
      • 14. app/Http/Controllers/ChapterController.php:1549
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select b.banner_link, b.banner_name, b.banner_script, b.banner_remarks, b.banner_file_name, b.banner_placement, bd.content_type, bd.content_id from `tbl_banner` as `b` inner join `tbl_banner_detail` as `bd` on `bd`.`banner_id` = `b`.`banner_id` inner join `users` as `u` on `u`.`id` = `b`.`updated_by` where `b`.`banner_ebook` = 1 and `bd`.`content_type` = 'B' and `bd`.`content_id` = 2265 and `b`.`banner_from_date` <= 1740528062 and `b`.`banner_to_date` >= 1740528062 and `b`.`banner_status` = 'A' order by `b`.`banner_id` desc
      1.09msalphaeurekaselec_live_10_06_2022Banner.php#95
      Bindings
      • 0: 1
      • 1: B
      • 2: 2265
      • 3: 1740528062
      • 4: 1740528062
      • 5: A
      Backtrace
      • 13. app/Models/Banner.php:95
      • 14. app/Http/helpers.php:404
      • 17. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 18. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    • select count(*) as aggregate from `uc_cart_products` where cart_id='87b093bc646d39718ffbaa5d4ad97cc4'
      240μsalphaeurekaselec_live_10_06_2022Cart.php#271
      Backtrace
      • 15. app/Models/Cart.php:271
      • 16. view::layouts._header:260
      • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    App\Models\Keywords
    9Keywords.php#?
    App\Models\Chapter
    1Chapter.php#?
    App\Models\Ebook
    1Ebook.php#?
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        uc_cart_id
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        array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/11031" ]
        _flash
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        PHPDEBUGBAR_STACK_DATA
        []
        path_info
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        status_code
        200
        
        status_text
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        format
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        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
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        request_cookies
        0 of 0
        array:1 [ "wayfindertarget" => null ]
        response_headers
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        ClearShow all
        Date ↕MethodURLData
        #12025-02-26 00:01:02GET/chapter/110311121811