On Ranking of Continuous Z‐Numbers with Generalized Centroids and Optimization Problems Based on  Z ‐Numbers | Zendy

Qiu Dong | Zendy; Xing Yumei | Zendy; Dong Rongwen | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

On Ranking of Continuous Z‐Numbers with Generalized Centroids and Optimization Problems Based on Z ‐Numbers

Author(s) -

Qiu Dong,

Xing Yumei,

Dong Rongwen

Publication year - 2018

Publication title -

international journal of intelligent systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.291

H-Index - 87

eISSN - 1098-111X

pISSN - 0884-8173

DOI - 10.1002/int.21928

Subject(s) - centroid , convexity , mathematics , rank (graph theory) , ranking (information retrieval) , function (biology) , combinatorics , order (exchange) , mathematical optimization , continuous function (set theory) , optimization problem , discrete mathematics , computer science , artificial intelligence , geometry , finance , evolutionary biology , financial economics , economics , biology

In this paper, we introduce the addition and g‐difference of continuous Z ‐numbers at first. Then, we define a new partial order to rank the Z ‐numbers with generalized centroids. The g‐derivative of Z ‐number function based on g‐difference is proposed. It is well known that convexity plays a vital role in optimization problems; consequently, we present the convexity of Z ‐number function. Furthermore, we provide the optimality conditions for optimization problems based on Z ‐numbers. Finally, the validity of the discussion is illustrated by an example.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research