Download Fuzzy Systems & Operations Research and Management by Bing-Yuan Cao, Zeng-Liang Liu, Yu-Bin Zhong, Hong-Hai Mi PDF

By Bing-Yuan Cao, Zeng-Liang Liu, Yu-Bin Zhong, Hong-Hai Mi

This booklet comprises result of the 7th foreign convention on Fuzzy info and Engineering (ICFIE'2014) and the first overseas convention of Operations examine and administration (ICORM'2014) on November 7-11, 2014 in ZhuHai, China.

The e-book, comprises 35 chosen high quality papers, and is split into 5 major parts:

Part I specializes in ``Fuzzy structures and Its Applications", half II on ``Fuzzy arithmetic and Its Applications", half III discusses ``Fuzzy info and Computer", half IV is dedicated to ``Operations study and administration and Its purposes" and half V contains numerous different topics.

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2 Let A˜ = { x, h˜ A˜ (x) |x ∈ X }, B˜ = { x, h˜ B˜ (x) |x ∈ X } be two IVIHFS. Then h˜ A˜ (x) and h˜ B˜ (x) are IVIHFEs. The distance measure for IVIHFS as following: d(h˜ A˜ (xi ), h˜ B˜ (xi )) = σ ( j) (xi ) A σ ( j) (xi ) B 1 4l xi l xi σ ( j) σ ( j) (xi ), h˜ ˜ (xi )), A B d(h˜ ˜ (1) j=1 are the jth largest values in h˜ A˜ (x) and h˜ B˜ (x); l xi = max(l(h A˜ (xi )), l(h B˜ (xi ))), l(h A˜ (xi )) and l(h B˜ (xi )) are the number of h˜ A˜ (x) and h˜ B˜ (x) respectively, which will be used thereafter.

Model. 37, 4915–4923 (2013) 21. : Generalized intuitionistic fuzzy soft sets with applications in decision-making. Appl. Soft Comput. 13, 3552–3566 (2013) Distance Measures for Interval-Valued Intuitionistic Hesitant Fuzzy Sets Ya-ru Wei, Lin-qing Gao, Chao Wang and Ming-hu Ha Abstract In order to effectively deal with some decision-making problems on interval-valued intuitionistic hesitant fuzzy environment, some distance measures for interval-valued intuitionistic hesitant fuzzy sets are defined, and corresponding properties are given and proved.

A˜ α,β (1) Proof See [1]. According Theorem 1 and definition of the intersection between aˆ α and aˆ β , we have following result 20 Z. Kheiri and B. Cao a˜ α,β = [aL , aR ], (2) aL = max{aL (α), aL (β)}, (3) aR = min{aR (α), aR (β)}. (4) where and Theorem 2 ([4]) For each a > 0, the exponential function f (x) = ax , is continuous. Note 1: Multiplication of two continuous functions is continuous. Ishihashi and Tanaka [6] defined three definitions to rank intervals. In this paper, according to our approach, we just introduce their definition for order relation is determined by left and right limits of an interval.

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