Download Decision and Game Theory in Management With Intuitionistic by Deng-Feng Li PDF

By Deng-Feng Li

The concentration of this booklet is on setting up theories and techniques of either determination and online game research in administration utilizing intuitionistic fuzzy units. It proposes a sequence of cutting edge theories, types and techniques equivalent to the illustration theorem and extension precept of intuitionistic fuzzy units, score tools of intuitionistic fuzzy numbers, non-linear and linear programming equipment for intuitionistic fuzzy multi-attribute choice making and (interval-valued) intuitionistic fuzzy matrix video games. those theories and strategies shape the speculation method of intuitionistic fuzzy choice making and video games, which isn't in basic terms remarkably varied from these of the normal, Bayes and/or fuzzy determination concept yet may also supply an efficient and effective instrument for fixing complicated administration difficulties. in view that there's a convinced measure of inherent hesitancy in real-life administration, which can't consistently be defined via the conventional mathematical equipment and/or fuzzy set idea, this e-book bargains a good method of utilizing the intuitionistic fuzzy set expressed with club and non-membership functions.

This publication is addressed to all these all for theoretical learn and useful functions from a number of fields/disciplines: choice technological know-how, video game idea, administration technological know-how, fuzzy units, operational examine, utilized arithmetic, platforms engineering, commercial engineering, economics, etc.

Show description

Read or Download Decision and Game Theory in Management With Intuitionistic Fuzzy Sets PDF

Best game theory books

Hargreaves-Heap - Varoufakis - Game theory critical intro

The fitting primer for these deterred via the technical nature of many textbooks, this identify presents a transparent reason for the long-lasting acclaim for online game concept and its expanding centrality to the educating of economics.

Introduction to Stochastic Integration

The idea of stochastic integration, also referred to as the Ito calculus, has a wide spectrum of functions in almost each clinical region regarding random services, however it could be a very tough topic for individuals with no a lot mathematical historical past. The Ito calculus used to be initially inspired by means of the development of Markov diffusion approaches from infinitesimal turbines.

Superior Beings If They Exist How Would We Know?: Game-Theoretic Implications of Omniscience, Omnipotence, Immortality, and Incomprehensibility

The valuable query posed during this booklet is: If there existed a superb being who possessed the supernatural traits of omniscience, omnipotence, immortality, and incomprehensibility, how might he/she act otherwise from us? The mathematical conception of video games is used to outline every one of those characteristics, and varied assumptions in regards to the ideas of play in different theological video games that may be performed among traditional humans and more advantageous beings like God are posited.

Game Theory and Learning for Wireless Networks. Fundamentals and Applications

Written through best specialists within the box, online game thought and studying for instant Networks Covers how thought can be utilized to unravel primary difficulties in instant networks resembling energy keep an eye on, source allocation or medium entry regulate. With the emphasis now on selling ‘green’ options within the instant box the place strength intake is minimized, there's an extra specialise in constructing community suggestions that maximizes using the spectrum to be had.

Additional resources for Decision and Game Theory in Management With Intuitionistic Fuzzy Sets

Example text

B ‘‘approximately 2c’’. , Eqs. 31)]. They have to be cautiously chosen for applications to solving real management and decision problems [30, 31]. 6 Definitions of Intuitionistic Fuzzy Numbers and Algebraic Operations The intuitionistic fuzzy number is a very important concept of the intuitionistic fuzzy modeling and optimization, which may be used to quantify an ill-known quantity in some real management situations [15, 16]. In this section, we will firstly introduce the concept of an intuitionistic fuzzy number.

1), Minkowski normalized distance ~ and B ~ is obtained as follows: between any intuitionistic fuzzy sets A vffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi u X à u 1 n  q ~ BÞ ~ ¼t dq ðA; ðlA~ ðxj Þ À lB~ ðxj ÞÞq þ ðtA~ ðxj Þ À tB~ ðxj ÞÞq þ ðpA~ ðxj Þ À pB~ ðxj ÞÞq : 2n j¼1 ð1:5Þ Analogously, according to Eq. 2), Hamming normalized distance between ~ and B ~ is obtained as follows: any intuitionistic fuzzy sets A ~ BÞ ~ ¼ d1 ðA; n À Á 1 X jlA~ ðxj Þ À lB~ ðxj Þj þ jtA~ ðxj Þ À tB~ ðxj Þj þ jpA~ ðxj Þ À pB~ ðxj Þj : 2n j¼1 ð1:6Þ 20 1 Intuitionistic Fuzzy Set Theories According to Eq.

4), respectively. 3 Let A hx1 ; 0:2; 0:4i þ hx2 ; 0:5; 0:4i þ hx3 ; 0:5; 0:1i be two intuitionistic fuzzy sets on the universal set X0 ¼ fx1 ; x2 ; x3 g. Assume that weights of the elements x1 , x2 and x3 are given as follows: x1 ¼ 0:5, x2 ¼ 0:2, x1 ¼ 0:3. , s1 ðA ~ 0 Þ, s2 ðA ~ 0 Þ, sþ1 ðA ~ 0 Þ, "s1 ðA ~ 0 Þ, fuzzy sets A ~0; B ~0; B ~ 0 Þ, and "sþ1 ðA ~ 0 Þ. "s2 ðA ~ 0 and B ~ 0, Solving According to Eq. 3 Distances and Similarity Degrees Between Intuitionistic Fuzzy Sets 17 1 ½ðj0:3 À 0:2j þ j0:5 À 0:4j þ j0:2 À 0:4jÞ þ ðj0:4 À 0:5j 2Â3 þj0:5 À 0:4j þ j0:1 À 0:1jÞ þ ðj0:6 À 0:5j þ j0:3 À 0:1j þ j0:1 À 0:4jފ 1 ¼ 1 À ð0:1 þ 0:1 þ 0:2 þ 0:1 þ 0:1 þ 0 þ 0:1 þ 0:2 þ 0:3Þ 6 ¼ 0:8: ~0; B ~0Þ ¼ 1 À s1 ðA Likewise, according to Eq.

Download PDF sample

Rated 4.60 of 5 – based on 20 votes